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`vec(A)` and `vec(B)` are two Vectors and `theta` is the angle between them, if `|vec(A)xxvec(B)|= sqrt(3)(vec(A).vec(B))` the value of `theta` is

A

`60^(@)`

B

`45^(@)`

C

`30^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`|vec(A) xx vec(B)|= sqrt3 (vec(A).vec(B))`
`rArr AB sin theta= sqrt3 AB cos theta`
`rArr (sin theta)/(cos theta)= sqrt3`
`rArr tan theta= sqrt3 rArr theta= 60^(@)`
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