If `vec(A)xxvec(B)=vec(C )`, then which of the following statements is wrong?

Options

A. `vec(C) bot vec(A)`
B. `vec(C) bot vec(B)`
C. `vec(C) bot (vec(A) + vec(B))`
D. `vec(C) bot (vec(A) xx vec(B))`

Answer

D

Explanation

`vec(C) = vec(A) xx vec(B)` direction of `vec(C)` is perpendicular to plane containing
`vec(A) and vec(B)`
`vec(C) bot vec(A), vec(C) bot vec(B) and vec(C)` perpendicular `(vecA) pm vec(B))`