Math, asked by chindarkarjay1271, 11 months ago

Why is the scalar triple product of three coplanar vectors zero

Answers

Answered by GovindRavi

Scalar triple product represent a physical quantity called Volume of a cuboid or cube as per maginitude of vector...

Coplanar vectors are the one which lie on the same plane...If three vectors are coplanar thhen they must lie in the same plane...There is no such vector which has Depth or height...i.e , Height = 0...

Since Volume , V = Area × Height = Area × 0 = 0
Thus Scalar trople product is zero if thre vectors are coplanar...

Answered by Anonymous

Conditions for Coplanar vectors. If there are three vectors in a 3d-space and their scalar triple product is zero, then these three vectors are coplanar. If there are three vectors in a 3d-space and they are linearly independent, then these three vectors are coplanar.

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