If \( \vec{\alpha} \|(\vec{\beta} \times \vec{\gamma}) \), then \( (\vec{\alpha} \times \vec{\be...

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If \( \vec{\alpha} \|(\vec{\beta} \times \vec{\gamma}) \), then \( (\vec{\alpha} \times \vec{\beta}) \cdot(\vec{\alpha} \times \vec{\gamma}) \) equals to
(A) \( |\vec{\alpha}|^{2}(\vec{\beta} \cdot \vec{\gamma}) \)
(B) \( |\vec{\beta}|^{2}(\vec{\gamma} \cdot \vec{\alpha}) \)
(C) \( |\vec{\gamma}|^{2}(\vec{\alpha} \cdot \vec{\beta}) \)
(D) \( |\vec{\alpha}||\vec{\beta}||\vec{\gamma}| \)
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