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Let vec(a), vec(b), vec(c) are three uni...

Let `vec(a), vec(b), vec(c)` are three unit vector such that `vec(a)+vec(b)+vec(c)` os also a unit vector. If pairwise angles between `vec(a), vec(b), vec(c)` are `theta_(1), theta_(2)` and `theta_(3)` respectively then `cos theta_(1)+cos theta_(2)+ cos theta_(3)` equals

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