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. `vec(a)=vec(0) or vec(b)=vec(0)`
D. None of the above

Answer

C

Explanation

`vec(a).vec(b)=0rArrvec(a)_|_ vec(b) " " ...(i)`
`vec(a)xx vec(b)=0 rArr vec(a)||vec(b)" " ...(ii)`
From (i) and (ii) it is clear that `vec(a)=0 ` or `vec(b)=0`