Phy-Vec18

HSC26free
HSC26free
  • 2 days ago
Transcript
00:00:00Hello, hello, hello, As-salamu alaykum.
00:00:28Hello, hello,
00:00:33I don't know if you can hear me or see me.
00:00:38And this noise.
00:00:40It's the sound of the door.
00:00:43The sound of the door is coming.
00:00:46When you are sleeping in the middle of the night,
00:00:52you will hear the sound of the door.
00:00:57Do you understand?
00:01:02What is this?
00:01:04Finally, I am seeing you.
00:01:05The depression is over.
00:01:06No one has seen me yet.
00:01:07Hi, hi.
00:01:08What do you say?
00:01:09Unbelievable.
00:01:11How are you?
00:01:12I am fine.
00:01:13Hopefully, you can hear and see the sound.
00:01:17Come on, everyone.
00:01:18We will start.
00:01:20Today, we have a very important topic.
00:01:24We will study today.
00:01:26We had studied about the properties of vectors before.
00:01:28Today, we will study about the defects.
00:01:30We will study about the defects of the vector today.
00:01:35Jokes apart.
00:01:36We had studied about the properties of vectors before.
00:01:39The two types of vectors that need to be studied.
00:01:41One type of vectors is Dot Vector and the other is Cross Vector.
00:01:45We have learned about the types of concepts and math or math in the previous class.
00:01:51Today we will study about the Cross Vector.
00:01:52So, I know that many of you will ask, how many more classes will be required?
00:01:58So, I also want to answer as before, that the classes that will be required are,
00:02:05you come to the first year of Inter now,
00:02:09you will be in the second year of Inter, then you will see that I am studying Vector.
00:02:13Then when you take the final preparation of HSC, then you will see that I am studying Vector.
00:02:19Then when you go for admission, then you will see that I am studying Vector.
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00:09:20Ok, come on!
00:09:22Let's begin.
00:09:24In the name of Allah, Most Beneficent, Most Merciful.
00:09:26First, we'll see
00:09:28Today, we'll study
00:09:30cross product of vectors.
00:09:32cross product of vectors.
00:09:36cross product of vectors.
00:09:42In English, this is referred to as
00:09:44cross product.
00:09:46Ok, cross product.
00:10:18So, gunfal vector rashi pawa jaye, yeh lekho sabkiso lekho, take vector gunan bole, ba
00:10:29cross gunan bole.
00:10:31Take vector ba cross gunan bole.
00:10:38So, purikhaye thaklo yeh bhabi English yeh cross likho nao, yeh bangla yeh cross likho
00:10:46yeh bhabi English yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh
00:10:53cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh
00:10:58bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho
00:11:03nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:11:10likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:11:15yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:11:21yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:11:26likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:11:31yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:11:35yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:11:39likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:11:43yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:11:47yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:11:51likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:11:55yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:11:59yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:12:03likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:12:07yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:12:11yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:12:15likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:12:19yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:12:23yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:12:27likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:12:31yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:12:35yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:12:39likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:12:43yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:12:47yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:12:51likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:12:55yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:13:01yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:13:05likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:13:09yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:13:13yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:13:17likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:13:21yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:13:25yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:13:29likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:13:33yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:13:37yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:13:41likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:13:45yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:13:49yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:13:53likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:13:57yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:14:01yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:14:05likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:14:09yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:14:13yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:14:17likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:14:21yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:14:25yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:14:29likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:14:33yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:14:37yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:14:41likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:14:45yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:14:49yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:14:53likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:14:57yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:15:01yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:15:05likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:15:09yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:15:13yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:15:17likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:15:21yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:15:25yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:15:29likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:15:33yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:15:37yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:15:41likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:15:45yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:15:49yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:15:53likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:15:57yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:16:01yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:16:05likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:16:09yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:16:13yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:16:17likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:16:21yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:16:25yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:16:29likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:16:33yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:16:39yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:16:43likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:16:47yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:16:51yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:16:55likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:16:59yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:17:03yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross
00:17:07likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla
00:17:11yeh cross likho nao, yeh bangla yeh cross likho nao, yeh bangla yeh cross likho nao,
00:17:15yeh bangla yeh cross likho nao.
00:17:59A sin theta bolta amra konta ke pustese.
00:18:01Yeh ta ekto likhe rakhi.
00:18:03Yeh ta hola amade se A vector chilo,
00:18:07aur yeh ta hotse monekoda amade se B vector.
00:18:11Ekhon bolo to,
00:18:13amra jodi B er dik barabar A er lambo obhikheb nite chayitam,
00:18:17takhon amader A dik barabar kinto ekta lambo tante hoto.
00:18:21Yeh ta jodi theta hoy,
00:18:23ta hole ekhan theke yeh tuko par jonto
00:18:25yeh lambo obhikheb,
00:18:27yeh ta ke amra boltam A cos theta.
00:18:29Ta hole B er lambo dik barabar,
00:18:33B er lambo dik holo yeh dike,
00:18:35yeh dik barabar,
00:18:37yeh B er lambo dik barabar,
00:18:39yeh lambo obhikheb kato tuko?
00:18:41Yeto tuko?
00:18:43Yeh ta kinto amader A sin theta.
00:18:45A sin theta.
00:18:47Ta hole khayal karo,
00:18:49amader jeh A cross B er maan ta budhatshe,
00:18:51se maan ta doi bhave amra likte pari.
00:18:53Yeh jinista ki parikhar jonne anek gurutto punno?
00:18:55Na.
00:18:57Just amader A jeh maan ta,
00:18:59se ta diye,
00:19:01kar maan gun se ta budhatshe.
00:19:03Yeh A ar B sin theta bolte kato tuko budhatshe?
00:19:05B ebong A sin theta bolte kato tuko budhatshe?
00:19:07Tumi A cross B mane,
00:19:09ekhane maan lakhauchi the bhave kore,
00:19:11A cross B er maan bolte,
00:19:13A B sin theta jakhon likcho,
00:19:15takhon A er maan ebong,
00:19:17A er lambo dike B er lambo obhikheb budhaye,
00:19:19B sin theta mane.
00:19:21Abar tumi jodi,
00:19:23etake maan je hetu,
00:19:25tin er shate paas gun karau ja,
00:19:27paat er shate tin gun karau ta,
00:19:29to A B sin theta jodi lakha jaye,
00:19:31ta hole B A sin theta jo lakha jaye,
00:19:33tale B A sin theta soman amra ki likte barhi,
00:19:35B er maan,
00:19:37A sin theta mane,
00:19:39B er lambo dike,
00:19:41A lambo obhikheb,
00:19:43eta hi chhobi di aklam.
00:19:45A vector ta hi dike,
00:19:47B vector ta hi dike,
00:19:49A cos theta.
00:19:51Ar amra jodi,
00:19:53B er lambo dike,
00:19:55A er lambo obhikheb paite chahi,
00:19:57ta hole,
00:19:59A sin theta.
00:20:01So ta hole,
00:20:03B er maan into A sin theta hote pare,
00:20:05athoba,
00:20:07A er maan into B sin theta hote pare.
00:20:09Ita just maan ber karar jonne amra dekhlam.
00:20:11Ekon asho,
00:20:13dikta amra ki bhabe ber korobo?
00:20:15Balo,
00:20:17sohoj,
00:20:19bhaiya,
00:20:21dik den nahi je,
00:20:23ehi dakho, keno dik den nahi,
00:20:25karun ekane modulus basaisi.
00:20:27Modulus jehi to basaisi,
00:20:29ta hole ta maan nirdesh karche.
00:20:31Clear?
00:20:33Er moto sohoj jinish asholeyar hoy na.
00:20:35Ebar asho,
00:20:37amra,
00:20:39je hi vector e katha bolchilam,
00:20:41mane karo,
00:20:43amadar ekta tal ase.
00:20:45Mane karo ekta tal.
00:20:47Tal ta bhalo laglo na.
00:20:49Eta hotse amadar kase mane karo ekta tal ase.
00:20:51Bekso ki sundar ekta tal.
00:20:53Ei dik barabar amadar ekta vector ase.
00:20:55Ebong,
00:20:57oi tal barabar amadar kase
00:20:59arakta vector ase.
00:21:01To, ei vector ta hotse amadar
00:21:03A vector.
00:21:05Ebong, ei vector ta hotse amadar B vector.
00:21:07Bekso je suye ase, tal eropari.
00:21:09Ki sundar kar aise, suye ase.
00:21:11Ar,
00:21:13ar B er moddho borti je kon ta,
00:21:15se hi kon ta ho hotse gere
00:21:17theta.
00:21:19Bozha jatse, je tal eropari kora.
00:21:21Eta holo theta.
00:21:23To, eta holo A vector.
00:21:25Eta hotse B vector.
00:21:27Ebong, eder moddho borti kon theta.
00:21:29Ekhon amra ki karbo?
00:21:31Amra ki ber karte chahi?
00:21:33Amra chahi,
00:21:35A cross B er je direction ta,
00:21:37se direction ta ber karte.
00:21:39A cross B er direction ber karte.
00:21:41A cross B er direction ber karte chahi.
00:21:43Direction ber karte chahi.
00:21:45Direction ber karte chahi.
00:21:47Tar mane ki?
00:21:49Tar mane,
00:21:51ekok vector je ta,
00:21:53ekok vector ta ber karte chahi.
00:21:55Ekhon khiyal karo,
00:21:57ekok vector e direction ta
00:21:59kon dike hoye?
00:22:01Jakhon amra,
00:22:03A cross B lekchi,
00:22:05tokhon
00:22:07A er man, B er man
00:22:09A ekok vector gun karte hoye.
00:22:11Eta holo man,
00:22:13eta holo se dik.
00:22:15Man ar dik gun kare,
00:22:17ekta vector aslo.
00:22:19Ekhon bhai khiyal karo,
00:22:21A cross B er direction ta kon dike?
00:22:23Ei direction ta ber kara jaye,
00:22:25daan hati right hand thumb roll diye.
00:22:27Ba, amra daan hati
00:22:29screw niyom bolte pari.
00:22:31Daan hati screw niyom bolte pari.
00:22:33Daan hati screw niyom.
00:22:35Niyom ekta hi.
00:22:37Bibinno boite duita niyom
00:22:39akar hi dewa se. Kintu
00:22:41result ekki rokom.
00:22:43Daan hati screw niyom mane ki?
00:22:45Dekho, daan hati screw
00:22:47kon gula ke bole?
00:22:49Tumi dek ba, kichu screw asen e rokom,
00:22:51je gula ke ebhabe kore jodi ghurana hoye,
00:22:53ta hole, e screw ta upar e dike
00:22:55khule aste thake. Ar jodi
00:22:57tight daya hoye,
00:22:59jodi amra khola samay anti-clockwise
00:23:01ghuraye, ta hole,
00:23:03atkano samay clockwise ghurate hoye.
00:23:05Dekha jaye, anti-clockwise
00:23:07ghurale, amader
00:23:09perek ta upar e dike urte thake,
00:23:11ar jodi clockwise ghuraye,
00:23:13ta hole, e screw ta bhitar e dike jete thake.
00:23:15Tumi, jodi
00:23:17hatar kache screw na pao, tamane sabar kache to
00:23:19botol ase.
00:23:21Dekho, botol er je
00:23:23cap ta ase, tumi jodi e cap ta ke
00:23:25e daan dike
00:23:27ghurao, daan dike bolte ki?
00:23:29Anti-clockwise ghurao.
00:23:31Ta holi ki hoye, botol er cap ta
00:23:33aste upar e dike urte thake na?
00:23:35Aba, tumi jodi, e botol ta ke
00:23:37mukhta jodi tight kore
00:23:39lagate chao, takhon kintu
00:23:41kond dike ghurachcho? Clockwise direction e ghurachcho.
00:23:43Clockwise, upar theke dekhle, clockwise direction e ghurachcho.
00:23:45Takhon kintu,
00:23:47e botol e cap e direction ta nicher dike jatche.
00:23:49Amader
00:23:51A cross B er je direction, se ta ho
00:23:53asol e rokum daan hati screw niyam e
00:23:55kara hoye. Ekhon bhai,
00:23:57e dik ber karar jorno ki, ami bar bar botol
00:23:59e cap dhore dhore dhamela karbo?
00:24:01Uttar hotse, na.
00:24:03Amra kub sahod, simple ekta method dekhbo.
00:24:05Se ta hotse, tumi tamar daan hat
00:24:07ber karba. Daan hat ber kore,
00:24:09daan hat er je chatta angul ase,
00:24:11e chatta angul ke erakom karte baro na?
00:24:13Erakom to karte baro. So, jeta korba,
00:24:15daan hat er chatta angul niye,
00:24:17jodi bole A cross B,
00:24:19tar mane,
00:24:21daan hat er chatta angul ke
00:24:23A vector theke
00:24:25B vector dike ghuraba.
00:24:27Apar bolchi, daan hat er chatta
00:24:29angul ke A vector theke B vector
00:24:31dike ghuraba. Ta hole,
00:24:33buro angul ta je dike nirdesh korbe,
00:24:35se hi ta hi hotse A cross B
00:24:37er direction.
00:24:39Jamon, amar kase, ekhane
00:24:41duita kolom ase.
00:24:43Duita kolom ase.
00:24:45Mane karo, e kolom er,
00:24:47e hi je direction ta dekhta patcho,
00:24:49eta hola ekta A vector,
00:24:51ebong, e hi je direction ta dekhta patcho,
00:24:53eta hola etta B vector.
00:24:55Naro, erakom kore tara ase.
00:24:57Ami jodi A cross B er direction
00:24:59ber korte chai, ta hole ki korbo?
00:25:01Jodi amke bole A cross B,
00:25:03mane karo, eta holo A vector
00:25:05sada kolom jeta, ar eta hotse B vector
00:25:07kalo kolom jeta. A cross B
00:25:09korte bole, ami daan hat er chatta angul
00:25:11nebo, buro angul chara chatta angul ke nebo.
00:25:13Buro angul chara chatta angul,
00:25:15A theke B er dike ghurabo.
00:25:17A theke B er dike ghurabo.
00:25:19Tali dekho,
00:25:21A theke B er dike ghurale,
00:25:23buro angul ta je dike nirdesh korbe,
00:25:25Theek ase?
00:25:27Je dike nirdesh korbe,
00:25:29se ita hi hotse,
00:25:31A cross B er direction.
00:25:33Tamra, eto sundar sundar comment karo,
00:25:35amar asole, monojog chalo jaye.
00:25:37Ek jan jigesh karte bhai,
00:25:39daan hat kon ta.
00:25:41Ek jan comment te uttar diste bhai,
00:25:43bam er ta. Kuru sundar.
00:25:45Tamra asole, eto creative.
00:25:47Mane dharo, tamadar ke aage ho hai to bolsi,
00:25:49kono dharo producer,
00:25:51jodi asole, ba kono script writer,
00:25:53ba dharo kono cinemar jonne
00:25:55dialogue khuje baatche na,
00:25:57ba dharo kono ghatana ishe banate baatche na.
00:25:59Oke jodi amar classe hene,
00:26:01ami jodi ek ghanta basaye dey,
00:26:03je ekto comment gula por bhi,
00:26:05o dekh bhaje, sundar kore,
00:26:07tin chaitta cinemar script likhe felte baatse.
00:26:09Uste baatse? Tamra eto talented.
00:26:11Ame obaak hoye jaye.
00:26:13So dekho, ei talent gula rekhe diyo mathar modde.
00:26:15Uste baatse? Anek shumai kaze lagbe.
00:26:17Ki sundar uttar, ame obaak hoye gela.
00:26:19O bolte jaye, daan hat kon ta.
00:26:21Eto ki level er prashna?
00:26:23Daan hat kon ta.
00:26:25Uttar dishe bamer ta.
00:26:27Shera bhai, shera.
00:26:29Ame obaak hoye jaye.
00:26:31Bolse, eto baro beshamman, kothaye beshamman?
00:26:33Arey, chhi, kakono bolechi,
00:26:35ame to sammanar katha bolechi.
00:26:37Oke dekho.
00:26:39Khali, baar baar ekta kothaye bole,
00:26:41basaye bajar karte nishet karba.
00:26:43Oke, jaye ho, tamar jonne.
00:26:45So, eta hulo A vector,
00:26:47arey, eta hotse amare B vector.
00:26:49A cross B,
00:26:51eta amra kibhabe dikta ninnaye karobo?
00:26:53Aibata son,
00:26:55A cross B, dikta amra kibhabe ber karobo?
00:26:57Ei diktar jonne,
00:26:59amare,
00:27:01prothome jai vector ta aage ase,
00:27:03cross gunar aage ase,
00:27:05sei vector theke daan hater chatta angul ke nibo,
00:27:07ebon chatta angul ke B jai vector ta ase,
00:27:09sei vector por janto ghurabo.
00:27:11A cross B,
00:27:13ta hole burangul jai dike nirdesh korbe,
00:27:15eta hi hotse A cross B er direction.
00:27:17Jodi amake bole B cross A,
00:27:19tayle ki korbo?
00:27:21Eta hulo B vector,
00:27:23arey, eta hotse A vector.
00:27:25Jodi bole B cross A, tayle ki korbo?
00:27:27Tayle B theke jai daan hater chatta angulo,
00:27:29usme abar baam hat niye sona.
00:27:31Ei, tumi ki khawa samay baam hat diye khao?
00:27:33Daan hatta maintain karo na sab samay?
00:27:35Mane, jai hat diye itcha hoyalo,
00:27:37shi hat diye khawa jaye,
00:27:39eda hoye kahano?
00:27:41To tayle, daan hater kach keno
00:27:43baam hat diye karte jaba?
00:27:45So, tamar
00:27:47B cross A jahan bolbe,
00:27:49tohon B er dikta A dik barabar,
00:27:51ebong A er dikta A dik barabar,
00:27:53tohale B theke A er dike hatta ghuraba.
00:27:55B vector theke A er dike hatta ghurale,
00:27:57burangul jai dike nirdesh korbe,
00:27:59seta hi hotse B cross A er direction.
00:28:01Thik ase?
00:28:03Jara lefty tara ki korba?
00:28:05Tara ho daan hati use koro,
00:28:07tumhara abar baam hati use koro na.
00:28:09Tali, ei khetra amadar vector er direction ta
00:28:11kon dike habe?
00:28:13A cross B, A theke B er dike hat ghurale,
00:28:15A cross B er direction hoye,
00:28:17dako ei dik barabar,
00:28:19jeta hotse ki tales sathe lambo barabar.
00:28:21Tahale, eta hi holo amadar A cross B vector ta.
00:28:23Ei dako, A cross B vector ta,
00:28:25ei dik barabar kach karche.
00:28:27Busta basso?
00:28:29Ei theke ekta vector na?
00:28:31Ei vector ta,
00:28:33baam pase ho vector,
00:28:35ebong daan pase ho dako vector kintu,
00:28:37AB sin theta se tar maan,
00:28:39eta hotse tar ekok vector,
00:28:41To, amra jodi ekok vector ta
00:28:43dik bosta chahiye, ekok vector ta kon dik barabar?
00:28:45Abusri, A cross B je dik ase
00:28:47ekok vector ta se hi dik barabari habe.
00:28:49Tahale, ekok vector ta hotse, manekaro
00:28:51ekhan theke eto tuku purjanto.
00:28:53Ekhan theke eto tuku purjanto.
00:28:55Eta hotse amadar se ekok vector, manekaro.
00:28:57Thikasse? Ekok vector ki hoye?
00:28:59Jaman ami jodi, ei dik barabar ekta vector nahi,
00:29:01A vector. Tahale, tar ekok vector ki?
00:29:03Er khub alpo man,
00:29:05ek ekok man jukto jai vector ta,
00:29:07oi dik barabar, seri ta amadar
00:29:09ek ekok vector.
00:29:11To, ekhan ho se ek jinis.
00:29:13Ebar aso, jodi amra B cross A er katha boli.
00:29:15B cross A er katha boli.
00:29:17Eta holo amadar,
00:29:19A cross B.
00:29:21Eta holo, A cross B er direction ta.
00:29:23Thikasse?
00:29:25Ebar aso, jodi amra B cross A
00:29:27dekhte chahiye, eta kon dikhe?
00:29:29B cross A. Tahale, ki habe?
00:29:31B theke A er dikhe hat ghurabo.
00:29:33B to taler border bhitore ase,
00:29:35bita. B ase border bhitore.
00:29:37B theke A er dikhe hat ghurale,
00:29:39B cross A er direction hotse nicher dikhe.
00:29:41B cross A er direction ta hotse
00:29:43nicher dik barabar.
00:29:45Eta holo amadar,
00:29:47B cross A er direction.
00:29:49Thikasse?
00:29:51B cross A er direction.
00:29:53Ekhon amke bolo to,
00:29:55ei duita vector,
00:29:57ekta A cross B,
00:29:59ekta B cross B,
00:30:01ke bolte par ba sabar aage?
00:30:03Kon vector ta boro?
00:30:05B er mann,
00:30:07A er mann,
00:30:09sin theta,
00:30:11ekak vector,
00:30:13ei dik barabar.
00:30:15Ekhon tumi jodi upar er
00:30:17positive eta lakho,
00:30:19negative eta vector lakta habe.
00:30:21Sohoj katha hotse,
00:30:23upar er dikta amra jeta liksi,
00:30:25upar er jeta amra liksi,
00:30:27ek sakho barabar,
00:30:29dam dikta ki amra boltam,
00:30:31plus i ekak vector.
00:30:33Bam dik barabar ki plus i boltam,
00:30:35etake ki minus i boltam na?
00:30:37So tahole e jonno,
00:30:39B cross A jokhon ami likchi,
00:30:41tohokhon etake ebhabe lakha jaye.
00:30:43Je B er mann laklam,
00:30:45A er mann laklam,
00:30:47sin theta laklam,
00:30:49ebon amadir upar er dikta aage,
00:30:51ekak vector ta positive dhore nisilan,
00:30:53tahole nicher dikta ekak vector ta ki?
00:30:55Negative.
00:30:57Tehle ebhabe kore amra prakash karte pari.
00:30:59Thikasse?
00:31:01Kone vector er mann ta boro?
00:31:03Kone vector er mann ta boro?
00:31:05Kone vector er mann ta boro?
00:31:07Kone vector er mann ta boro?
00:31:09Kone vector er mann ta boro?
00:31:11Kone vector er mann ta boro?
00:31:13Kone vector er mann ta boro?
00:31:15Kone vector er mann ta boro?
00:31:17Kone vector er mann ta boro?
00:31:19Kone vector er mann ta boro?
00:31:21Kone vector er mann ta boro?
00:31:23Kone vector er mann ta boro?
00:31:25Kone vector er mann ta boro?
00:31:27Kone vector er mann ta boro?
00:31:29Tahole mann sem kinto dik alada.
00:31:31Tahole mann sem kinto dik alada.
00:31:33Tahole khayal karo,
00:31:35A cross B jai vector ta ase,
00:31:37khayal karo to,
00:31:39A cross B jai vector ta ase,
00:31:41se ta soman soman amin likte pari,
00:31:43B cross A.
00:31:45Eta ki lakha jaabe?
00:31:47Balo to, eta ki lakha jaabe?
00:31:49Balo.
00:31:51Keno lakha jaabe na, Arham?
00:31:53Omkardash. Keno lakha jaabe na?
00:31:55Modulus dile lakha jaabe.
00:31:57A cross B,
00:31:59A cross B,
00:32:01A cross B,
00:32:03A cross B,
00:32:05A cross B,
00:32:07A cross B,
00:32:09A cross B,
00:32:11A cross B,
00:32:13A cross B,
00:32:15A cross B,
00:32:17A cross B,
00:32:19A cross B,
00:32:21A cross B,
00:32:23A cross B,
00:32:25A cross B,
00:32:27A cross B,
00:32:29A cross B,
00:32:31A cross B,
00:32:33A cross B,
00:32:35A cross B,
00:32:37A cross B,
00:32:39A cross B,
00:32:41A cross B,
00:32:43A cross B,
00:32:45A cross B,
00:32:47A cross B,
00:32:49A cross B,
00:32:51A cross B,
00:32:53A cross B,
00:32:55A cross B,
00:32:57A cross B,
00:32:59A cross B,
00:33:01A cross B,
00:33:03A cross B,
00:33:05A cross B,
00:33:07A cross B,
00:33:09A cross B,
00:33:11A cross B,
00:33:13A cross B,
00:33:15A cross B,
00:33:17A cross B,
00:33:19A cross B,
00:33:21A cross B,
00:33:23A cross B,
00:33:25A cross B,
00:33:27A cross B,
00:33:29A cross B,
00:33:31A cross B,
00:33:33A cross B,
00:33:35A cross B,
00:33:37A cross B,
00:33:39A cross B,
00:33:41A cross B,
00:33:43A cross B,
00:33:45A cross B,
00:33:47A cross B,
00:33:49A cross B,
00:33:51A cross B,
00:33:53A cross B,
00:33:55A cross B,
00:33:57A cross B,
00:33:59A cross B,
00:34:01A cross B,
00:34:03A cross B,
00:34:05A cross B,
00:34:07A cross B,
00:34:09A cross B,
00:34:11A cross B,
00:34:13A cross B,
00:34:15A cross B,
00:34:17A cross B,
00:34:19A cross B,
00:34:21A cross B,
00:34:23A cross B,
00:34:25A cross B,
00:34:27A cross B,
00:34:29A cross B,
00:34:31A cross B,
00:34:33A cross B,
00:34:35A cross B,
00:34:37A cross B,
00:34:39A cross B,
00:34:41A cross B,
00:34:43A cross B,
00:34:45A cross B,
00:34:47A cross B,
00:34:49A cross B,
00:34:51A cross B,
00:34:53A cross B,
00:34:55A cross B,
00:34:57A cross B,
00:34:59A cross B,
00:35:01A cross B,
00:35:03A cross B,
00:35:05A cross B,
00:35:07A cross B,
00:35:09A cross B,
00:35:11A cross B,
00:35:13A cross B,
00:35:15A cross B,
00:35:17A cross B,
00:35:19A cross B,
00:35:21A cross B,
00:35:23A cross B,
00:35:25A cross B,
00:35:27A cross B,
00:35:29A cross B,
00:35:31A cross B,
00:35:33A cross B,
00:35:35A cross B,
00:35:37A cross B,
00:35:39A cross B,
00:35:41A cross B,
00:35:43A cross B,
00:35:45A cross B,
00:35:47A cross B,
00:35:49A cross B,
00:35:51A cross B,
00:35:53A cross B,
00:35:55A cross B,
00:35:57A cross B,
00:35:59A cross B,
00:36:01A cross B,
00:36:03A cross B,
00:36:05A cross B,
00:36:07A cross B,
00:36:09A cross B,
00:36:11A cross B,
00:36:13A cross B,
00:36:15A cross B,
00:36:17A cross B,
00:36:19A cross B,
00:36:21A cross B,
00:36:23A cross B,
00:36:25A cross B,
00:36:27A cross B,
00:36:29A cross B,
00:36:31A cross B,
00:36:33A cross B,
00:36:35A cross B,
00:36:37A cross B,
00:36:39A cross B,
00:36:41A cross B,
00:36:43A cross B,
00:36:45A cross B,
00:36:47A cross B,
00:36:49A cross B,
00:36:51A cross B,
00:36:53A cross B,
00:36:55A cross B,
00:36:57A cross B,
00:36:59A cross B,
00:37:01A cross B,
00:37:03A cross B,
00:37:05A cross B,
00:37:07A cross B,
00:37:09A cross B,
00:37:11A cross B,
00:37:13A cross B,
00:37:15A cross B,
00:37:17A cross B,
00:37:19A cross B,
00:37:21A cross B,
00:37:23A cross B,
00:37:25A cross B,
00:37:27A cross B,
00:37:29A cross B,
00:37:31A cross B,
00:37:33A cross B,
00:37:35A cross B,
00:37:37A cross B,
00:37:39A cross B,
00:37:41A cross B,
00:37:43A cross B,
00:37:45A cross B,
00:37:47A cross B,
00:37:49A cross B,
00:37:51A cross B,
00:37:53A cross B,
00:37:55A cross B,
00:37:57A cross B,
00:37:59A cross B,
00:38:01A cross B,
00:38:03A cross B,
00:38:05A cross B,
00:38:07A cross B,
00:38:09A cross B,
00:38:11A cross B,
00:38:13A cross B,
00:38:15A cross B,
00:38:17A cross B,
00:38:19A cross B,
00:38:21A cross B,
00:38:23A cross B,
00:38:25A cross B,
00:38:27A cross B,
00:38:29A cross B,
00:38:31A cross B,
00:38:33A cross B,
00:38:35A cross B,
00:38:37A cross B,
00:38:39A cross B,
00:38:41A cross B,
00:38:43A cross B,
00:38:45A cross B,
00:38:47A cross B,
00:38:49A cross B,
00:38:51A cross B,
00:38:53A cross B,
00:38:55A cross B,
00:38:57A cross B,
00:38:59A cross B,
00:39:01A cross B,
00:39:03A cross B,
00:39:05A cross B,
00:39:07A cross B,
00:39:09A cross B,
00:39:11A cross B,
00:39:13A cross B,
00:39:15A cross B,
00:39:17A cross B,
00:39:19A cross B,
00:39:21A cross B,
00:39:23A cross B,
00:39:25A cross B,
00:39:27A cross B,
00:39:29A cross B,
00:39:31A cross B,
00:39:33A cross B,
00:39:35A cross B,
00:39:37A cross B,
00:39:39A cross B,
00:39:41A cross B,
00:39:43A cross B,
00:39:45A cross B,
00:39:47A cross B,
00:39:49A cross B,
00:39:51A cross B,
00:39:53A cross B,
00:39:55A cross B,
00:39:57A cross B,
00:39:59A cross B,
00:40:01A cross B,
00:40:03A cross B,
00:40:05A cross B,
00:40:07A cross B,
00:40:09A cross B,
00:40:11A cross B,
00:40:13A cross B,
00:40:15A cross B,
00:40:17A cross B,
00:40:19A cross B,
00:40:21A cross B,
00:40:23A cross B,
00:40:25A cross B,
00:40:27A cross B,
00:40:29A cross B,
00:40:31A cross B,
00:40:33A cross B,
00:40:35A cross B,
00:40:37A cross B,
00:40:39A cross B,
00:40:41A cross B,
00:40:43A cross B,
00:40:45A cross B,
00:40:47A cross B,
00:40:49A cross B,
00:40:51A cross B,
00:40:53A cross B,
00:40:55A cross B,
00:40:57A cross B,
00:40:59A cross B,
00:41:01A cross B,
00:41:03A cross B,
00:41:05A cross B,
00:41:07A cross B,
00:41:09A cross B,
00:41:11A cross B,
00:41:13A cross B,
00:41:15A cross B,
00:41:17A cross B,
00:41:19A cross B,
00:41:21A cross B,
00:41:23A cross B,
00:41:25A cross B,
00:41:27A cross B,
00:41:29A cross B,
00:41:31A cross B,
00:41:33A cross B,
00:41:35A cross B,
00:41:37A cross B,
00:41:39A cross B,
00:41:41A cross B,
00:41:43A cross B,
00:41:45A cross B,
00:41:47A cross B,
00:41:49A cross B,
00:41:51A cross B,
00:41:53A cross B,
00:41:55A cross B,
00:41:57A cross B,
00:41:59A cross B,
00:42:01A cross B,
00:42:03A cross B,
00:42:05A cross B,
00:42:07A cross B,
00:42:09A cross B,
00:42:11A cross B,
00:42:13A cross B,
00:42:15A cross B,
00:42:17A cross B,
00:42:19A cross B,
00:42:21A cross B,
00:42:23A cross B,
00:42:25A cross B,
00:42:27A cross B,
00:42:29A cross B,
00:42:31A cross B,
00:42:33A cross B,
00:42:35A cross B,
00:42:37A cross B,
00:42:39A cross B,
00:42:41and now,
00:42:43I cross J,
00:42:45J cross K,
00:42:47K cross I,
00:42:49I cross J,
00:42:51J cross I.
00:42:53How many you got?
00:42:55How can we answer this
00:42:57quickly and
00:42:59accurately?
00:43:01Let us say that
00:43:03you got 100 out of 100
00:43:05in the exam.
00:43:07When someone asks you
00:43:09you get 100 out of 100 in Maths, in any exam.
00:43:14If you have a teacher in your house,
00:43:16who searches a lot,
00:43:17there's nothing like this, right?
00:43:18Teacher,
00:43:19the way he searches,
00:43:21how much is this roll,
00:43:22how much did you get in Maths,
00:43:24how much did you get in English,
00:43:26there's nothing like this.
00:43:27There's no human being like this
00:43:28who asks questions like this.
00:43:29Teacher,
00:43:30when they come and ask,
00:43:32how much did you get in Maths,
00:43:35and if you get 100 out of 100,
00:43:37how much in Maths,
00:43:38how many in total,
00:43:39what will you say?
00:43:40100.
00:43:41How many? 100.
00:43:42You can't say it all at once.
00:43:43So, the way we can get this roll,
00:43:47I'll teach you a technique for that.
00:43:49If someone asks,
00:43:50how much is I x J,
00:43:51we can say it all at once.
00:43:54So, there's a shortcut for that.
00:43:56There are tricks for shortcuts.
00:44:00Do you know what the trick is?
00:44:02The trick is,
00:44:03you'll think like this,
00:44:04that I cap,
00:44:06then J cap,
00:44:08then K cap,
00:44:11I x J x K,
00:44:13like this,
00:44:15put it in a grid like this.
00:44:18Now see,
00:44:19where do the arrows come from?
00:44:20There are arrows from I to J,
00:44:22there are arrows from J to K,
00:44:24there are arrows from K to I.
00:44:26The shortcut is like this,
00:44:28if you put it towards the triangle,
00:44:32then it will be positive,
00:44:33if you put it in the opposite direction,
00:44:34then it will be negative.
00:44:36Unbelievable.
00:44:37It's so easy.
00:44:38See,
00:44:39if you put I x J,
00:44:41I x J,
00:44:42see this,
00:44:43I x J,
00:44:44if you put it towards the triangle,
00:44:45then it will be positive,
00:44:47plus K.
00:44:49Have you ever seen,
00:44:50if you put I x J,
00:44:51another vector will come.
00:44:52If you put I x J,
00:44:53another vector will come.
00:44:54If you put J x K,
00:44:55another vector will come.
00:44:56I mean,
00:44:57J x K will not be J.
00:44:58Right?
00:44:59Because,
00:45:00it will be long with the bottom.
00:45:01Then,
00:45:02who is it?
00:45:03Keep in mind,
00:45:04I x J means,
00:45:05I will not be right,
00:45:06J will not be right.
00:45:07Then,
00:45:08who is it?
00:45:09And,
00:45:10why it is positive?
00:45:11Because,
00:45:12J from I,
00:45:13J from I is on the right side of the triangle.
00:45:15Now,
00:45:16if you put J x I,
00:45:17then,
00:45:18J x I,
00:45:19what is this?
00:45:20Is it in the opposite direction?
00:45:21We know,
00:45:22J x I means
00:45:24there is no I or J.
00:45:25It will be K.
00:45:26But,
00:45:27J x I is in the opposite direction of the triangle,
00:45:29that's why,
00:45:30to
00:48:51a
00:50:13x
01:18:05a
01:18:18x
01:32:08x
01:32:21x
01:32:32plus 1 e square plus minus 10 e square plus 7 e square, i cap minus 10 j cap plus 7 k
01:32:50e square plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:32:57plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:33:04cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:33:117 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:33:18plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:33:25cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:33:307 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:33:35plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:33:40cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:33:477 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:33:52plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:33:57cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:34:027 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:34:07plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:34:14cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:34:197 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:34:24plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:34:29cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:34:347 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:34:39plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:34:44cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:34:497 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:34:54plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:34:59cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:35:097 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:35:19plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:35:29cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:35:397 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:35:44plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:35:49cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:35:597 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap
01:36:09plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j
01:36:21cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus 7 j cap plus
01:36:29root 3 by 2.
01:36:30So, you will not get confused that if theta is 60 degree, it will be root 3 by 2, if it
01:36:35is 120 degree, it will be root 3 by 2.
01:36:37So, you will not be able to come to any decision from here.
01:36:40The main reason is that plus root 3 by 2, first quadrant and second quadrant, here also
01:36:47sin is positive, here also sin is positive.
01:36:51So, if your cone is 60 degree or 120 degree, in both the cases, if the cone is 60 degree
01:37:01or 120 degree, then in both the cases, our sin theta is root 3 by 2 plus.
01:37:08You will not be able to identify whether theta is 60 degree or 120 degree.
01:37:13But, when the value of cos comes, when you are calculating with cos, then you say that
01:37:20cos is positive on this side, cos is negative on this side.
01:37:24So, if the value of cos is negative, if the value of cos theta is minus something, then
01:37:29it will be understood that it is a cone, it is in the second quadrant.
01:37:32And if it is plus, then it will be understood that it is in the first quadrant, it is a
01:37:35conical cone.
01:37:36So, that is why it cannot be done with sin theta, but if you do it, you will get two
01:37:41results.
01:37:42You will not be able to understand whether the result is 60 degree or 120 degree.
01:37:45So, again you have to check whether the cos theta is positive or negative.
01:37:52Did you understand?
01:37:54Tell me, do you understand this or not?
01:37:58So, why do we always have to use a dotted cone in any decision?
01:38:04Because if you do it with sin, then two results can come here.
01:38:08You cannot say which one specifically.
01:38:11Did you understand?
01:38:13What else is there?
01:38:15So, when will we do the cross calculation?
01:38:18There will be another application of cross calculation in our next class.
01:38:21If you say that the location of A and B is below, then decide a long vector along with
01:38:25it.
01:38:26Then we will need it.
01:38:27If we need it, then we will need cross calculation.
01:38:29If we say that check whether A and B are parallel or not, then we will need cross calculation.
01:38:34Okay?
01:38:35And there are some other applications.
01:38:36We will discuss those in the next class.
01:38:39Thank you very much.
01:38:40Thank you.
01:38:41Thank you.
01:38:42Thank you.
01:38:43Thank you.
01:38:44Thank you.
01:38:45Thank you.
01:38:46Thank you.
01:38:47Thank you.
01:38:48Thank you.
01:38:49Thank you.
01:38:50Thank you.
01:38:51Thank you.
01:38:52Thank you.
01:38:53Thank you.
01:38:54Thank you.
01:38:55Thank you.
01:38:56Thank you.
01:38:57Thank you.
01:38:58Thank you.
01:38:59Thank you.
01:39:00Thank you.
01:39:01Thank you.
01:39:02Thank you.
01:39:03Thank you.
01:39:04Thank you.
01:39:05Thank you.
01:39:06Thank you.
01:39:07Thank you.
01:39:08Thank you.