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If hat(a), hat(b) and hat(c) are the thr...

If `hat(a), hat(b) and hat(c)` are the three unit vector and `alpha, beta and gamma` are scalars such that `hat(c)=alphahat(a)+betahat(b)+gamma(hat(a)xxhat(b)).` If is given that `hat(a)*hat(b)=o and hatc` makes equal angle with both `hat(a)and hat(b)`, then evaluate `alpha^(2)+beta^(2)+gamma^(2)`.

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