Prove that vmatrix (A-P) & (A-Q) & (A-R) (B-P) & (B-Q) & (B-R) (C-P) & (C-Q) & (C-R)…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Prove that ∣cos⁡(A−P)cos⁡(A−Q)cos⁡(A−R)cos⁡(B−P)cos⁡(B−Q)cos⁡(B−R)cos⁡(C−P)cos⁡(C−Q)cos⁡(C−R)∣=0\begin{vmatrix} \cos(A-P) & \cos(A-Q) & \cos(A-R) \\ \cos(B-P) & \cos(B-Q) & \cos(B-R) \\ \cos(C-P) & \cos(C-Q) & \cos(C-R) \end{vmatrix} = 0

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