• 3 months ago
Transcript
00:00:00Hello, assalamu alaikum to everyone, can you hear me? Can you see me?
00:00:19Hello, hello, hello.
00:00:23Hello, hello, hello.
00:00:26Can you hear me? Can you see me?
00:00:30Can you see me?
00:00:35Let me know in the comments.
00:00:38Walaikum assalam.
00:01:00Walaikum assalam.
00:01:25How many more lectures?
00:01:28Hai, hai, hai.
00:01:32There was no other question in the world?
00:01:35How many questions are there?
00:01:38How much power do your glasses have in your eyes?
00:01:41How tall are you?
00:01:43These are all important questions.
00:01:46What question did you ask?
00:01:48How many more lectures will it take? Is it a story?
00:01:51Tell me.
00:01:53Hey boss, how are you all?
00:01:55How many batches of HSC do I have?
00:01:58I am HSC 1998.
00:02:01Nineteen ninety-eight.
00:02:05Did you understand?
00:02:08One more thing, slap. Hey, will you slap for that?
00:02:12Will you slap for that?
00:02:14HSC 1998.
00:02:16I look so young, but actually I am not that young.
00:02:20Calculate it.
00:02:22If I had taken the HSC exam in 1998, how old would I be now?
00:02:27You made a mistake in making the height.
00:02:30You can't make a mistake in making this.
00:02:32Did you understand?
00:02:35Then tell me, what news do you have?
00:02:38Today is the fifth lecture of Vector.
00:02:41We are today, one lecture before this,
00:02:44that is, in the class number three,
00:02:47we did not learn the formula,
00:02:50we solved the math problem in the last class.
00:02:56Today we will practice some CQ problems.
00:02:59So, you can say it as a practice class.
00:03:02So, how will I conduct this practice class?
00:03:05First, you will have some MCQ questions written here.
00:03:08And with that, I will give you 10 to 15 seconds to solve each question.
00:03:14In these 10 to 15 seconds, I will try to answer the questions.
00:03:18And do not put the question in the answer sheet.
00:03:21The PDF page number will be given.
00:03:23So, after seeing this page number, you can take the solution.
00:03:26There is no harm in not taking the solution.
00:03:29The problems that you find a little difficult,
00:03:32just mark this page number for those problems.
00:03:35After the class is over,
00:03:37I will remove the questions from that page number
00:03:40in your answer sheet.
00:03:42Do you understand?
00:03:44Is the sound coming?
00:03:46Let me see.
00:03:48Wait, wait, wait.
00:03:51One minute.
00:03:53Hello, hello, hello.
00:03:55No, look that way.
00:03:58Hello, hello, hello, hello, hello.
00:04:01The sound is clear, clear, clear.
00:04:03The sound is clear.
00:04:05The sound is clear.
00:04:07All clear.
00:04:09Very good.
00:04:11So, can we understand
00:04:12that the class is over?
00:04:15Okay.
00:04:17So,
00:04:19let's see
00:04:21that we
00:04:23will start.
00:04:25Let me reduce the temperature.
00:04:27We will start.
00:04:29So, what I said at the beginning, I said it again.
00:04:31All of you sit with a calculator.
00:04:34Today, you will need to note a lot.
00:04:37Because today we will not study theory.
00:04:39Today is just a practice class.
00:04:40So, you will do the practice first
00:04:42for 10-15 seconds.
00:04:44And then you will see my answers.
00:04:46Or, you will mix with my answers.
00:04:48Same thing.
00:04:50Okay?
00:04:52And,
00:04:54as I said,
00:04:56you will not go to the question sheet.
00:04:58You can write the answers in the sheet.
00:05:00You can write the difficult ones.
00:05:02And what will you do while writing them?
00:05:04Look, the page number is shown here.
00:05:06This is written as 1.
00:05:08Do you understand?
00:05:10You can do this.
00:05:12Even if you don't do lecture 4, there is no problem.
00:05:14Even if you do 3, you can do this.
00:05:16There is no problem.
00:05:18Okay?
00:05:20You can do this.
00:05:22There is no problem.
00:05:24Okay?
00:05:26How will you join the discussion group?
00:05:28You can inbox us.
00:05:30Or, you can call our call center.
00:05:32Okay?
00:05:34The page number is not shown.
00:05:36I will tell you the page number.
00:05:38Okay.
00:05:40Before that,
00:05:42I will do the CQ problem a little later.
00:05:44It is very easy.
00:05:46So, let's go for MCQ first.
00:05:48It is a very easy question.
00:05:50I will take some time to complete it.
00:05:52Say, what will it be?
00:05:54What will be this answer?
00:05:56Let me see.
00:05:58Between P and Q,
00:06:00which is the lowest value?
00:06:02Very good.
00:06:04Very good.
00:06:06The lowest value is
00:06:08D.
00:06:10So, I am going to show you how to use the modulus of a vector, because we have to use
00:06:16one from another, right?
00:06:17We see that the value of modulus, we have to use one from another.
00:06:20P plus Q is the absolute value.
00:06:21This is one factor, this is another factor.
00:06:22So, there are two types of factors in a vector.
00:06:23We will learn the relation of two types of factors in front.
00:06:24Now, see here.
00:06:25Here, I have given the trigonometry for the clarity of the pictures.
00:06:26Here, it is said that the z vector is equal to the minus sign of x minus y vector in the
00:06:27lower right triangle.
00:06:28So, this is the z vector.
00:06:29This is the z vector.
00:06:30This is the z vector.
00:06:31This is the z vector.
00:06:32This is the z vector.
00:06:33This is the z vector.
00:06:34This is the z vector.
00:06:36the this is the z vector.
00:06:44y vector, z vector, y vector, x vector, y vector, z vector, x vector, y vector, z vector,
00:07:04x vector, y vector, z vector.
00:07:34So,
00:09:04x plus z, y vector plus x vector, y plus x, z vector, y plus x, z vector.
00:09:34So,
00:10:04x plus z, y plus x, z vector, y plus x, z vector, y plus x, z vector, y plus x, z vector.
00:10:34So,
00:11:04x plus z, y plus x, z vector, y plus x, z vector.
00:11:34So,
00:12:04x plus z, y plus x, z vector. So,
00:12:35x plus z, y plus x, z vector. So,
00:12:44x plus z, y plus x, z vector. So,
00:12:53x plus z, y plus x, z vector. So,
00:13:05x plus z, y plus x, z vector. So,
00:13:17x plus z, y plus x, z vector. So,
00:13:25x plus z, y plus x, z vector. So,
00:13:37x plus z, y plus x, z vector. So,
00:13:45x plus z, y plus x, z vector. So,
00:13:57x plus z, y plus x, z vector. So,
00:14:05x plus z, y plus x, z vector. So,
00:14:18x plus z, y plus x, z vector. So,
00:14:35x plus z, y plus x, z vector. So,
00:14:47x plus z, y plus x, z vector. So,
00:14:55x plus z, y plus x, z vector. So,
00:15:07x plus z, y plus x, z vector. So,
00:15:15x plus z, y plus x, z vector. So,
00:15:27x plus z, y plus x, z vector. So,
00:15:35x plus z, y plus x, z vector. So,
00:15:47x plus z, y plus x, z vector. So,
00:15:55x plus z, y plus x, z vector. So,
00:16:07x plus z, y plus x, z vector. So,
00:16:14b c vector a b plus b c a c a c c b c minus c b minus c b b c minus c b b c minus c b
00:16:43c b vector a a b a minus c b minus c b minus c b negative.
00:16:58So, what is minus C B? What is minus C B? If this is C B, then minus C B is its opposite.
00:17:09This is our minus C B. And see, what is minus C B, B C is the same. What is minus C B, B
00:17:17C is the same. Fine. So, let us see which one goes with this. See, A B minus A C is equal
00:17:25to minus C B.
00:17:55See, A B minus A C is equal to B C.
00:17:58Fine. Very good. Now, see, A B minus A C is equal to C B. A B minus A C is equal to minus
00:18:05B C.
00:18:06What did we see earlier about minus B C? Minus B C means we can write C B. Right?
00:18:11Minus B C. If you add minus 1 here, then minus B C is equal to C B. Then, this is fine.
00:18:17So, B is our answer. B is our answer. See, A B minus A C is equal to C B.
00:18:23See, what is wrong in the latter ones? In the latter ones, A B plus A C is never there.
00:18:28A B and A C are not joining here. Right? Then what? A C minus A B. So, A C minus A B, this
00:18:39is also not in our minus. So, B is our main answer. Fine. B is the answer.
00:18:49Thank you. Allah Hafiz.