For vectors `vec(A) and vec(B)` making an angle `theta` which one of the following relation is correct?

Options

A. `vec(A) xx vec(B) = vec(B) xx vec(A)`
B. `vec(A) xx vec(B) = AB sin theta`
C. `vec(A) xx vec(B) = AB cos theta`
D. `vec(A) xx vec(B)= - vec(B) xx vec(A)`

Answer

D

Explanation

Since, `vec(A) xx vec(B)= AB sin theta( hat(n))`
`vec(B) xx vec(A)= AB sin theta (- hat(n))`
`therefore vec(A) xx vec(B)= - vec(B) xx vec(A)`