\( \vec{a}, \vec{b} \) and \( \vec{c} \) are three vectors of equal...

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\( \vec{a}, \vec{b} \) and \( \vec{c} \) are three vectors of equal magnitude. The angle between each pair of vectors is \( \pi / 3 \) such
\( \mathrm{P} \) that \( |\vec{a}+\vec{b}+\vec{c}|=\sqrt{6} \). Then \( |\vec{a}| \) is equal to
(1) 2
(2) -1
(3) 1
(4) \( \sqrt{6} / 3 \)
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