If a- b- c are non - coplanar vectors- then a - b - cc - a - b - b - a - cc - a - b-

A . (b × c)(c × a) . b+b . (a × c)c . (a × b) = nbsp;[a b c][c a b] nbsp;[a b c][c a b] = 0 ...

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Multiplication with Vectors

If a, b, c ar...

Question

If $\to a, \to b, \to c$ are non - coplanar vectors, then $\frac{a . (b \times c)}{(c \times a) . b} + \frac{b . (a \times c)}{c . (a \times b)} = ?$

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\to A, \to B, \to C

\frac{\to A . \to B \times \to C}{\to C \times \to A . \to B} + \frac{\to B . \to A \times \to C}{\to C . \to A \times \to B} =

\to a, \to b, \to c

λ

[λ (\to a + \to b), λ^{2} \to b, λ \to c] = [\to a, \to b + \to c, \to b]

\to a, \to b, \to c

\to d

\to a + \to b + \to c

\to d = x \to b \times \to c + y \to c \times \to a + z \to a \times \to b

\to a, \to b, \to c, \to d

[\to a \times \to b \to a \times \to c \to d]

\to a, \to b

\to c

\to a - \to b, \to b - \to c

\to c - \to a

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