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Let hat(alpha),hat(beta),hat(gamma) be t...

Let `hat(alpha),hat(beta),hat(gamma)` be three unit vectors such that `hat(alpha)xx(hat(beta)xxhat(gamma))`
`=(1)/(2)(hat(beta)+hat(gamma))" where "hat(alpha)xx(hat(beta)xxhat(gamma))=(hat(alpha).hat(gamma))hat(beta)-(hat(alpha).hat(beta))hat(gamma).` If `hat(beta)" is not parallel to "hat(gamma)," then the angle between "hat(alpha)andhat(beta)` is

A

`(5pi)/(6)`

B

`(pi)/(6)`

C

`(pi)/(3)`

D

`(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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