The value of $\theta \in (0, \pi/2)$ for which vectors $\vec{a} = (\sin \theta)\hat{i} + (\cos \theta)\hat{j}$ and $\vec{b} = \hat{i} - \sqrt{3}\hat{j} + 2\hat{k}$ are perpendicular is
- A$\theta = \pi/3$
- B$\theta = \pi/6$
- C$\theta = \pi/4$
- D$\theta = \pi/2$
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