00:00Students, you have thought that
00:02F multiply D
00:04Do what are vectors?
00:07Multiply, work comes out
00:08Work has a scalar
00:10Okay, now we have two vectors
00:12R and F
00:14These two vectors are vectors
00:17Multiply, which is taught
00:18which is torque
00:19Torque has a vector
00:22Now my question is that these two vectors are
00:25F and D have two vectors
00:27R and F have two vectors
00:29They have multiple
00:30We have a scalar
00:32And we have a vector
00:34So this is what we have
00:37Product of vectors
00:38We have to understand
00:39How do we understand
00:42How we understand
00:43How do we understand
00:43How do we understand
00:43Or how do we understand
00:44Yeah, this is formula
00:46We are
00:46So, first of all
00:48I have to tell you
00:49That this product of vectors
00:51Product of vectors
00:53This is two vectors
00:55How do we know
00:57Two types
00:58ڈاپس کا یہ بہت وہ کہتے ہیں نا بیسک وڈیو ہے جو کہ فیزکس کے ایک
01:03ایوشنز آپ کو سمجھانے میں مدد دے گا چاہتو ٹائبس ہے نمبر ایک ہم
01:07کہتے ہیں ڈاٹ پروڈکٹ یہ ڈاٹ یا ایسے لکھو ڈی او ڈی ڈاٹ پروڈکٹ
01:13ٹھیک ہے اور دوسرا کیا ہے نمبر ٹو یہ نمبر ون یہ نمبر ٹو اس کو
01:19کہتے ہیں کروس پروڈکٹ کروس پروڈکٹ یعنی عام میت میں تو آپ کیا لکھتے
01:24ہو آپ میت میں آپ کروس بھی بنا لیتے ہو آپ ڈاٹ بھی بنا لیتے ہو آپ
01:28ایسی بھی بنا لیتے ہو تو فرق نہیں ہے لیکن یہاں پہ فیزکس میں فرق
01:31ہے ٹھیک ہے اچھا ڈاٹ پروڈکٹ کیا ہے یعنی اس کے درمیان میں ایسے ہوگا
01:36کیسے جیسے میں کہتا ہوں f ڈاٹ ڈی تو اس کو کہتے ہیں ڈاٹ پروڈکٹ یہ
01:43آپ کو ہمیشہ کیا دے گا یہ آپ کو دے گا سکیلر تو اس کا دوسرا نام
01:47پڑ گیا سکیلر پروڈکٹ ٹھیک ہے سکیلر پروڈکٹ یعنی ڈاٹ پروڈکٹ یا
01:54سکیلر پروڈکٹ دوسرا آپ کے پاس کیا ہے جس کم کہتا ہوں کروس
01:58پروڈکٹ یہ کیا مطلب ہے اس کے درمیان میں ایسے ہوگا یعنی دو
02:01ویکٹرز کے درمیان میں یہ چیز ہوگی کروس ہوگا کیا مطلب آر کروس
02:06یعنی مومنٹ آم ہے اور یہ فورس ہیں ٹھیک ہے آر کرس ایف آر کرس ایف آپ کو
02:10what you have to do is cross product or vector, which is what you have to do, so this
02:18is the second name of the vector product, this is the vector product, now we have to explain
02:26what you have to do, if you have a dot product, first of all I have to tell you, dot
02:32product
02:33about what you have to do, dot product is what you have to do, so this is the formula
02:38what you have to do, so two vectors are, general formula and B, these two vectors are,
02:45so this is the formula, and this is the formula, cos theta, yeah, you have to
02:51remember, this is the derivation, I don't know, derivation, but this is the
02:55question, but this is the beginning, this is the magnitude, which is the magnitude of A,
03:04which is the magnitude of A, and this is the magnitude of B, this is the
03:15angle, this is the angle between B, between A and B, this is what I have to do, this is
03:26the
03:27example, this is the example, this is the example, this is the example, I have to do it,
03:33this is the example, A, B, cos theta, this is what I have to do, now, you have to do
03:38this,
03:38you have to do it, you have to do it, you have to do it, cos theta, it is the
03:43the answer to A, cos theta into B, clear, this is the third part of A, here are the
03:50two you have to do it, then it will be, yes, then it will be the type of A,
03:51which means, if you have to suppose, if you have a vector vector, this is the
03:55is
03:57this
03:57this
03:58this
03:58this
04:00vector a coisa bt can you wanna is that the components say a key a have a component suppose
04:05cut them that you have a bus be vector and take a suppose cut and be vector and so I'll
04:11get
04:11bus a year why or yeah I'll give us a X so yeah it's a component you have a be
04:17why
04:17here or you be a X component to be X component can be cause theta you have got a Tiga
04:23so simple
04:25I will tell you that component of vector component of another vector that you can use.
04:31I will tell you that I will not say that.
04:33I will tell you that I will tell you that.
04:36You will tell me that F cross F dot D.
04:41You will tell me that this work is equal to work.
04:43The next thing is F D.
04:45Because that product is called the cos theta.
04:48This is the cos theta.
04:50This is the work.
04:51We will tell you that this theta is called the cos theta.
04:55This theta we say is if 0.
04:57This is the job that we have to kill.
04:59F D cause of 0.
05:02Right?
05:03Cause of 0.
05:04If you say it, cause of 0 is 1 is 1.
05:06So we have the job that F D.
05:07If that is not the job that F D comes to the work.
05:10This is the maximum work which is the most important length in the work.
05:15This is the answer.
05:16This has something you get.
05:19Okay?
05:20That's a force of force for wit,
05:21and I am passion that's getting Divchselment cover.
05:34So angle is equal to 90 degree. So F D cause of 90 degree. So F D into zero. So
05:45F D into zero.
05:47So F D into your objective. Like that follow Der rue is.
06:02foreign
06:03foreign
06:04foreign
06:04foreign
06:05लगा रहे हो कि displacement ऐसे हो दोनों के दम्यान एंडल किते नाइड़
06:09डीगरी अब मुझे बताऊ रोगा इस बने प्रत न वर कितना होगा इस डिर
06:11essentially आप से फूस लगा रहे हो आप चारे हो कि यह जो चीज्स है इस
06:15پوریا نہیں کری کیا نہیں کرنے کو کہتے ہیں zero تاب اے کو zero
06:19سایے یہ اے سا جا سے تو یہاں بھی Mitra
06:22کر روそうے پروڈکٹ یہی ہے نا سو چھوڑک
06:35کیا کہتا ہے یہ درمیان میں یہ ہوگا کیسے جیسے ہم کہتے ہیں
06:41moment arm is, cross is, f is.
06:44So, this is R, f, sin theta.
06:48This is a sign theta.
06:50Now, you can see result.
06:54Result is vector.
06:55If vector is, then direction,
06:57you can see direction,
07:02direction, which is where you can see.
07:04So, you can see that.
07:05So, this is where we can show you.
07:08Unit vector n.
07:09Which is just direction show.
07:11So, this is normal.
07:12It is simple.
07:14If you can see unit vector,
07:17then you can see it.
07:19I can see it.
07:21This is a general formula.
07:24This is a cross b.
07:27This is a cross b.
07:27A cross b.
07:30sin theta and n.
07:32Now, this is a sign theta.
07:35This is a sign theta.
07:39N.
07:40N.
07:40N.
07:40unit vector is,
07:41direction is,
07:42this is a sign of tension.
07:44This means torque.
07:46Torque.
07:46Torque.
07:47Torque.
07:47Rotation.
07:48Rotation.
07:49In this direction.
07:50It is a sign of a sign.
07:51It is a sign of bulb.
07:52He says that it is a sign.
08:02So, you can see it.
08:07In this direction,
08:09this means that we can know it.
08:11Here is a sign of the sign.
08:13we can see it.
08:13the sign of the sign of the sign is true.
08:15That makes it.
08:16if it's like shit in the ambits of a force like me
08:19you can see some force
08:22force
08:22force
08:50to have force
08:53R is. So, this is the method that we have to do. Okay. Now, we have to say that R
08:58F sine theta.
09:00Okay. R F sine theta. No problem. R bhi mwujud hai. F bhi mwujud hai.
09:05Now, we have to say that this angle we have to do 90 degree. So, sine of 90 degree means
09:11sine of 90.
09:13Ketna hootai? Zero hootai? Sorry. One hootai? So, you have to say that one R F.
09:18R F ka muntabahe ke maximum kiya aega? Torque aega. Aishe ya na? Aachha.
09:24Iska muntabahe kea huwa? Dekhen. Force habne eishe lagaya. Moment arm yeh hai.
09:28To angle ketna hai? 90 degree. Aishe ya na? Yianni, ye moment arm hai R.
09:33Or ye force hai F. Or ye angle ketna hai? 90 degree. Iska muntabahe kea huwa?
09:38Keh, jawab joh aega. Jho result aega. Voh aega. Max tar. Yianni tarque aega.
09:45Ab dursa case dhekta hai. Hem kehatta hai ke R F sine of ab zero degree lelene.
09:50To sine of zero zero hota hai. R F zero. To iska muntabahe zero. Iska muntabahe kea hai? No torque.
09:57No torque ya zero torque.
10:00Aishe ya hai. Toh ye kub hooga? Ghorr kerein.
10:11Aisheäg, amuntabahe kea hai. 지금� sister dhekta hai, zemine, aaa,rem.
10:32has said that the product is
10:33which is the product vector
10:35vectors
10:37when you get out of product
10:37then you get out of product
10:40or cross product
10:42so dot product
10:44formula is
10:45a b cos theta
10:46and this formula is
10:48a b sin theta
10:50and n because vector
10:52is the job
10:53that will be scalar
10:56and this will be vector
10:59so the scalar
11:00is the example
11:01I have to give work
11:03and vector
11:03is the example
11:04I have to talk
11:05but the other thing
11:06is the fact that
11:08is the fact that
11:08thank you
