If p + q + r = a + b + c = 0, then the determinant `|{:(pa,qb,rc),(qc, – InterviewSolution

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1.	If p + q + r = a + b + c = 0, then the determinant `\|{:(pa,qb,rc),(qc,ra,pb),(rb,pc,qa):}\|` equals
Answer» Correct Answer - A `\|{:(pa,,qb,,rc),(qc,,ra,,pb),(rb,,pc,,qa):}\|` `=pqr(a^(3)+b^(3)+c^(3)-3abc)-(abc(p^(3)+q^(3)+r^(3)-3pqr)` `=pqr(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)` `-abc (p+q+r)(p^(2)+q^(2)+r^(2)-pq-qr-pr)` `=0`

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