If `vec(a). vec(b) = 0 and vec(a) xx vec(b) = vec(0)` then which one of the following is correct ?

Options

A. `vec(a)` is parallel to `vec(b)`
B. `vec(a)` is perpendicular to `vec(b)`
C. Either `vec(a) or vec(b)` is a null vector
D. None of the above

Answer

C

Explanation

Let `vec(a) and vec(b)` are two vectors such that `vec(a).vec(b)=0` and `vec(a)xxvec(b)=0` then either `vec(a) or vec(b)` is a null vector.