If a, b and c are unit coplanar vectors, then the scalar triple product [2 a- b 2 b- c 2 c- a] has the value

MHT CET 2024 Mathematics question

If and are unit coplanar vectors, then the scalar triple product has the value

(A)0Correct
(B)1
(C)
(D)

Answer: (A)

Solution

If are coplanar, then every vector formed as a linear combination of them also lies in that same plane. Hence , and are three coplanar vectors, and their scalar triple product is . (Check by expansion: the triple product equals

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Question ID VK-099859