Let \( \vec{a}, \vec{b}, c \) be three unit vectors such that angle...

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Let \( \vec{a}, \vec{b}, c \) be three unit vectors such that angle
\( \mathrm{W} \) between \( \vec{a} \) and \( \vec{b} \) is \( \alpha, \vec{b} \) and \( \vec{c} \) is \( \beta \) and \( \vec{c} \) and \( \vec{a} \) is \( \gamma \). If \( |\vec{a}+\vec{b}+\vec{c}|=2 \), then \( \cos \alpha+\cos \beta+\cos \gamma= \)
(1) 1
(2) \( -1 / 2 \)
(3) \( 3 / 2 \)
(4) \( 1 / 2 \)
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