If the vectors `vec(a)` and `vec(b)` are such that `|vec(a) + vec(b)|=|vec(a)|` then does it imply that:

Options

A. `vec(b)=0`
B. `vec(a).vec(b)` are antiparallel
C. `vec(a).vec(b)` are perpendicular
D. `vec(a).vec(b)le0`

Answer

B

Explanation

Here the correct choice is (b) i.e. `(vec(a)vec(b))` are anti-parallel