If in a ABC, ^3A+ ^3B+ ^3C=3 A B C, then vmatrix a&b&c &c&a &a&b vmatrix =

JEE Main Mathematics question

If in a , , then

Answer: (A)

The identity x^3+y^3+z^3-3xyz=(x+y+z)\left(x^2+y^2+z^2-xy-yz-zx\right) applies with etc. Since , the

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Question ID VK-008521