If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors such that \( \v...

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If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors such that \( \vec{a} \cdot \vec{b}=0=\vec{a} \cdot \vec{c} \)
\( \mathrm{P} \)
W and the angle between \( \vec{b} \) and \( \vec{c} \) is \( \frac{\pi}{3} \), then the value of \( |\vec{a} \times \vec{b}-\vec{a} \times \vec{c}| \) is
(1) \( \frac{1}{2} \)
(2) 1
(3) 2
(4) None of these
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