Let \( \hat{a}, \hat{b}, \hat{c} \) are three-unit vectors such tha...

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Let \( \hat{a}, \hat{b}, \hat{c} \) are three-unit vectors such that \( \hat{a}+\hat{b}+\hat{c} \)
\( \mathrm{P} \) is also a unit vector. If pairwise angles between

W \( \hat{a}, \hat{b}, \hat{c} \) are \( \theta_{1}, \theta_{2} \) and \( \theta_{3} \) respectively then \( \cos \theta_{1}+ \) \( \cos \theta_{2}+\cos \theta_{3} \) equals
(1) 3
(2) -3
(3) 1
(4) -1
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