- If and are three non-coplanar vectors

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

Problem

- If a,ba, b and cc are three non-coplanar vectors, then find the value of a⋅(b×c)b⋅(c×a)+b⋅(c×a)c⋅(a×b)+c⋅(a×b)a⋅(b×c)\frac{a \cdot (b \times c)}{b \cdot (c \times a)} + \frac{b \cdot (c \times a)}{c \cdot (a \times b)} + \frac{c \cdot (a \times b)}{a \cdot (b \times c)} .

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