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

The correct option is B Non coplanarLet given vectors are collinear then, [a×b #160; b×c #160; c×a]=0 =(a×b×b×c)·c×a=([abc]b 0)c×a ...

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Question

If the vectors $\to a, \to b, \to c$ are non-coplanar then the vectors $\to a \times \to b, \to b \times \to c, \to c \times \to a$ are

Coplanar

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Non-coplanar

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Orthogonal

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Collinear

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Solution

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Similar questions

\to a, \to b, \to c

[\to a \times \to b

\to b \times \to c

\to c \times \to a] =

\to a, \to b, \to c

(\to a \times \to b) \times (\to a \times \to c) + (\to b \times \to c) \times (\to b \times \to a) + (\to c \times \to a) \times (\to c \times \to b)

\to a, \to b, \to c

\to b \times \to c = \to a

\to a \times \to b = \to c

\to c \times \to a = \to b

\to a, \to b, \to c

\to b \times \to c = \to a, \to c \times \to a = \to b

\to a \times \to b = \to c

\to A, \to B

\to C

(\to A + \to B + \to C) . [(\to A + \to B) \times (\to A + \to C)]

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