`L_(1)andL_(2)` are two lines whose vector equations are
`L_(1):vecr=lamda((costheta+sqrt3)hati+(sqrt2sintheta)hatj+(costheta-sqrt3)hatk)`
`L_(2):vecr=mu(ahati+bhatj+chatk)`, where `lamdaandmu` are scalars and `alpha` is the acute angle between `L_(1)andL_(2)`.If the `anglealpha` is independent of `theta` then the value of `alpha` is
A. `(pi)/(6)`
B. `(pi)/(4)`
C. `(pi)/(3)`
D. `(pi)/(2)`