Let θ be the angle between two vectors $\vec a$ and $\vec b$. Then match List-I with List-II
|
List-I |
List-II |
|
(A) $\sin θ$ |
(I) $\frac{\vec a.\vec b}{|\vec a||\vec b|}$ |
|
(B) $\cos θ$ |
(II) $|\vec a×\vec b|$ |
|
(C) Area of the parallelogram with adjacent sides represented by $\vec a$ and $\vec b$ |
(III) $\frac{\vec a.\vec b}{|\vec a|}$ |
|
(D) Projection of $\vec a$ on $\vec b$ |
(IV) $\frac{|\vec a×\vec b|}{|\vec a||\vec b|}$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
|
List-I |
List-II |
|
(A) $\sin θ$ |
(IV) $\frac{|\vec a×\vec b|}{|\vec a||\vec b|}$ |
|
(B) $\cos θ$ |
(I) $\frac{\vec a.\vec b}{|\vec a||\vec b|}$ |
|
(C) Area of the parallelogram with adjacent sides represented by $\vec a$ and $\vec b$ |
(II) $|\vec a×\vec b|$ |
|
(D) Projection of $\vec a$ on $\vec b$ |
(III) $\frac{\vec a.\vec b}{|\vec a|}$ |