If $|\vec{A} \times \vec{B}| = \sqrt{3} \vec{A} \cdot \vec{B}$,then the value of $|\vec{A} + \vec{B}|$ is

  • A
    $\left(A^2 + B^2 + \frac{AB}{\sqrt{3}}\right)^{1/2}$
  • B
    $A + B$
  • C
    $\left(A^2 + B^2 + \sqrt{3}AB\right)^{1/2}$
  • D
    $\left(A^2 + B^2 + AB\right)^{1/2}$

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