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Let \( \vec{a}, \vec{b}, \vec{c} \) be the three unit vectorsc such that \( \vec{a}+\vec{b}+\vec{c} \) is also a unit vec. If pairwise angles between \( \vec{a}, \vec{b}, \vec{c} \) are \( \theta_{1}, \theta_{2}, \theta_{3} \) respectively.
\( \cos \theta_{1}+\cos \theta_{2}+\cos \theta_{3}= \) ?
(a) 3
(b) -3
(c) 1
(d) -1
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