Prove that a ( b c ) + b ( c a ) + c ( a b ) = 0

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Prove that a×(b×c)+b×(c×a)+c×(a×b)=0\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) + \mathbf{b} \times (\mathbf{c} \times \mathbf{a}) + \mathbf{c} \times (\mathbf{a} \times \mathbf{b}) = 0

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