Solve the vector equation

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

Problem

Solve the vector equation r×b=a×b\mathbf{r} \times \mathbf{b} = \mathbf{a} \times \mathbf{b} , r⋅c=0\mathbf{r} \cdot \mathbf{c} = 0 provided that c\mathbf{c} is not perpendicular to b\mathbf{b} .

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