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If \( |\vec{A} \times \vec{B}|=\sqrt{3} \vec{A} \cdot \vec{B} \), then the value of \( |\vec{A}+\vec{B}| \)
\( \mathrm{P} \)
(A) \( \left(A^{2}+B^{2}+\frac{A B}{\sqrt{3}}\right)^{1 / 2} \)
(B) \( A+B \)
(C) \( \left(A^{2}+B^{2}+\sqrt{3} A B\right)^{1 / 2} \)
(D) \( \left(A^{2}+B^{2}+A B\right)^{1 / 2} \)
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