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Question
`vecA, vecB` and `vecC` are three non coplanar vectors, then `(vecA + vecB + vecC).((vecA + vecB) xx (vecA + vecC))` is equal to ______.
Options
0
`[vecA, vecB, vecC]`
`2[vecA, vecB, vecC]`
`-[vecA, vecB, vecC]`
MCQ
Fill in the Blanks
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Solution
`vecA, vecB` and `vecC` are three non coplanar vectors, then `(vecA + vecB + vecC).((vecA + vecB) xx (vecA + vecC))` is equal to `-[vecA, vecB, vecC]`.
Explanation:
`[(vecA + vecB + vecc, vecA + vecB, vecA + vecC)]`
= `|(1, 1, 1),(1, 1, 0),(1, 0, 1)|[vecAvecBvecC]`
= `-[vecA, vecB, vecC]`
shaalaa.com
Coplanarity of Three Vectors and Four Points
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