If \( \vec{a}, \vec{b}, \vec{c}, \vec{d} \) are unit vectors such that \( \vec{a} \cdot \vec{b}=...
If \( \vec{a}, \vec{b}, \vec{c}, \vec{d} \) are unit vectors such that \( \vec{a} \cdot \vec{b}=\frac{1}{2} \), \( \vec{c} \cdot \vec{d}=\frac{1}{2} \) and angle between \( \vec{a} \times \vec{b} \) and \( \vec{c} \times \vec{d} \) is \( \frac{\pi}{6} \) then the value of \( |[\vec{a} \vec{b} \vec{d}] \vec{c}-[\vec{a} \vec{b} \vec{c}] \vec{d}|= \)
(A) \( 3 / 2 \)
(B) \( 3 / 4 \)
(C) \( 3 / 8 \)
(D) 2
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