For three noncoplanar vectors a , b , c the relation | a b c | = | a | ,| b | ,| c | holds if and only if

JEE Advanced Mathematics question

For three noncoplanar vectors the relation holds if and only if

Answer: (C)

Let be the angle between and the angle between and . Then

|(×)·| = |||||| θ |φ| ||||||.

Equality needs () and

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Question ID VK-109655