The scalar product of two vectors is `2 sqrt(3)` and the magnitude of their vector product is `2`. The angle between them is

Options

A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `90^(@)`

Answer

A

Explanation

`vec(A) . Vec(B) = AB cos theta = 2 sqrt(3)`
`|vec(A) xx vec(B)| = AB sin theta = 2`
`tan theta = (2)/( 2 sqrt(3)) = (1)/(sqrt(3)) rArr theta = 30^(@)`