Question:medium

If \(\vec{a}, \vec{b}, \vec{c}\) are three non-coplanar vectors, then \([\vec{a}\times\vec{b},\ \vec{b}\times\vec{c},\ \vec{c}\times\vec{a}]\) is equal to:

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For non-coplanar vectors, the scalar triple product of cross products equals the square of the original scalar triple product.

Updated On: Apr 16, 2026

\([\vec{a}\ \vec{b}\ \vec{c}]^3\)
\([\vec{a}\ \vec{b}\ \vec{c}]^2\)
0
None of these

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The Correct Option is B

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If \(\vec{a}, \vec{b}, \vec{c}\) are three non-coplanar vectors, then \([\vec{a}\times\vec{b},\ \vec{b}\times\vec{c},\ \vec{c}\times\vec{a}]\) is equal to:

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The Correct Option is B

Solution and Explanation

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