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a,b and c are three unit vectors such th...

a,b and c are three unit vectors such that no two of them are collinear. If b=2 `{axx(bxxc)}` and `alpha` is the angle between a,c and `beta` is the angle between a,c and `beta` is the angle between a,b then cos `(alpha+beta)` =

A

`(sqrt(3))/(2)`

B

`-(sqrt(3))/(2)`

C

`(1)/(2)`

D

`-(1)/(2)`

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The correct Answer is:
B
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