If \(a(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\), where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

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If \(a(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\), where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

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kritika · Answer 1 · 2021-12-26T05:13:27+0000

Ans: (C)
Hint \(: \therefore \vec{\alpha} \times \vec{\beta}, \vec{\beta} \times \vec{\lambda}, \vec{\gamma} \times \vec{\alpha}\) are coplanar \(\Rightarrow \vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are coplanar

If \(a(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\), where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

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