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L1a n dL2 and two lines whose vector equ...

`L_1a n dL_2` and two lines whose vector equations are `L_1: vec r=lambda((costheta+sqrt(3)) hat i(sqrt(2)sintheta) hat j+(costheta-sqrt(3)) hat k)` `L_2: vec r=mu(a hat i+b hat j+c hat k)` , where `lambdaa n dmu` are scalars and `alpha` is the acute angel between `L_1a n dL_2dot` If the angel `alpha` is independent of `theta,` then the value of `alpha` is a. `pi/6` b. `pi/4` c. `pi/3` d. `pi/2`

A

`(phi)/(6)`

B

`(phi)/(4)`

C

`(phi)/(3)`

D

`(phi)/(2)`

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The correct Answer is:
(a)
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