If u, v, w are non-coplanar vectors and p, q are real numbers, then the equality [3 u p v p w] - [p v w q u] - [2 w q v q u] = 0 holds for

JEE Main 2009 Mathematics question

If are non-coplanar vectors and are real numbers, then the equality holds for

Answer: (1)

; [pv\ w\ qu] = pq[vwu] = pq[uvw]; [2w\ qv\ qu] = 2q^2[wvu] = -2q^2[uvw]. The equation becomes , and since $[uvw]

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Question ID VK-039196