When `vec(A).vec(B)= -|A| |B|`, then

Options

A. `vec(A)` and `vec(B)` are perpendicular to each other
B. `vec(A)` and `vec(B)` act in the same direction
C. `vec(A)` and `vec(B)` act in the opposite direction
D. `vec(A)` and `vec(B)` can act in any direction

Answer

C

Explanation

`vec(A).vec(B)= AB cos theta`
In the problem `vec(A).vec(B)= -Ab i.e., cos theta= -1`
`:. Theta= 180^(@)`
i.e., `vec(A) and `vec(B)` acts in the opposite direction.