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Let the unit vectors a and b be perpendi...

Let the unit vectors `a` and `b` be perpendicular and the unit vector `c` be inclined at an angle `theta` to both `a` and `b`. If `c=alpha a+beta b+gamma(axxb)`, then

A

`alpha=2beta`

B

`gamma^(2)=1+2alpha^(2)`

C

`gamma^(2)=cos2theta`

D

`beta^(2)=(1+cos2theta)/2`

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The correct Answer is:
D
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