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Let hat a ,hat b,hat care three unit ve...

Let `hat a ,hat b,hat c`are three unit vectors such that `hata+hat b + hat c` is also a unit vector. If pairwise angles between `hat a,hat b, hat c` are `theta_1,theta_2,theta_3` rexpectively then `cos theta_1,+cos theta_2+ cos theta_3`, equals

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