Match List-I with List-II
Let $θ$ be the angle between the vector $\vec a$ and $\vec b$.
|
List-I |
List-II |
|
(A) $\vec a.\vec b$ |
(I) $\frac{\vec a.\vec b}{|\vec b|^2}\vec b$ |
|
(B) $\vec a×\vec b$ |
(II) $\vec a.\vec b=0$ |
|
(C) Projection vector of $\vec a$ on $\vec b$ (≠0) |
(III) $|\vec a||\vec b| \sin θ\hat n$ where $\hat n$ is a unit vector perpendicular to both $\vec a$ and $\vec b$ |
|
(D) $\vec a$ and $\vec b$ are orthogonal vectors |
(IV) $|\vec a||\vec b| \cos θ$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
|
List-I |
List-II |
|
(A) $\vec a.\vec b$ |
(IV) $|\vec a||\vec b| \cos θ$ |
|
(B) $\vec a×\vec b$ |
(III) $|\vec a||\vec b| \sin θ\hat n$ where $\hat n$ is a unit vector perpendicular to both $\vec a$ and $\vec b$ |
|
(C) Projection vector of $\vec a$ on $\vec b$ (≠0) |
(I) $\frac{\vec a.\vec b}{|\vec b|^2}\vec b$ |
|
(D) $\vec a$ and $\vec b$ are orthogonal vectors |
(II) $\vec a.\vec b=0$ |