Question Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors, out of which vector....

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Question
Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors, out of which
\( \mathrm{P} \)
vectors \( \vec{b} \) and \( \vec{c} \) are non-parallel. If \( \alpha \) and \( \beta \) are the angles which vector \( \vec{a} \) makes with vectors \( \vec{b} \) and \( \vec{c} \) respectively and \( \vec{a} \times(\vec{b} \times \vec{c})=\frac{1}{2} \vec{b} \), then \( |\alpha-\beta| \) is equal to
(1) \( 60^{\circ} \)
(2) \( 30^{\circ} \)
(3) \( 90^{\circ} \)
(4) \( 45^{\circ} \)


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