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If vec alpha, vec beta, vecgamma be thre...

If `vec alpha, vec beta, vecgamma` be three unit vectors such that `|vec alpha+vec beta+vec gamma|=1` and `vec alpha` is perpendicular to `vec beta` while `vec gamma` makes angles `theta` and `phi` with `vec alpha` and `vec beta` respectively, then the value of `cos theta+cos phi` is -

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