Question:
if \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors, then \((\vec{a}+\vec{b}+\vec{c}) [(\vec{a}+\vec{b})\times(\vec{a}+\vec{c})]\) equal to
if \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors, then \((\vec{a}+\vec{b}+\vec{c}) [(\vec{a}+\vec{b})\times(\vec{a}+\vec{c})]\) equal to
Updated On: Mar 21, 2024
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- \(-[\vec{a}\vec{b}\vec{c}]\)
- \([3\vec{a}\vec{b}\vec{c}]\)
- \([2\vec{a}\vec{b}\vec{c}]\)
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The Correct Option is B
Solution and Explanation
The correct answer is(B): \([-\vec{a}\vec{b}\vec{c}]\)
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