If $|\vec{a} \cdot \vec{b}| = |\vec{a} \times \vec{b}|$, $\vec{a} \cdot \vec{b} < 0$ and $\theta$ is the angle between $\vec{a}$ and $\vec{b}$, then the value of $\sin \theta + \tan \theta$ is...

  • A
    $(\sqrt{2} - 2)/2$
  • B
    $(\sqrt{2} + 2)/2$
  • C
    $(1 + \sqrt{2})/2$
  • D
    $(2 - \sqrt{2})/2$

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