The angle between two vectros `vecaandvecb` with magnitudes `sqrt3` and 4, respectively and `veca.vecb=2sqrt3` is

Options

A. `(pi)/(6)`
B. `(pi)/(3)`
C. `(pi)/(2)`
D. `(5pi)/(2)`

Answer

B

Explanation

Here, `|veca|=sqrt3,|vecb|=4andveca.vecb=2sqrt3" "[given]`
We know that, `veca.vecb=|veca||vecb|costheta`
`implies2sqrt3=sqrt(3).4.costheta`
`impliescostheta=(2sqrt3)/(4sqrt3)=(1)/(2)`
`:.theta=(pi)/(3)`