The angle between \( \vec{a} \) and \( \vec{b} \) is \( 5 \pi / 6 \) and the projection of \( \v...

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The angle between \( \vec{a} \) and \( \vec{b} \) is \( 5 \pi / 6 \) and the projection of \( \vec{a} \) in the direction of \( \vec{b} \) is \( -6 / \sqrt{3} \), then \( |\vec{a}|= \)
(A) 6
(B) \( \frac{\sqrt{3}}{2} \)
(C) 12
(D) 4
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