If a- b- c- are three non coplanar non zero vectors- then a-a- b-c- a-b- c-a- a-c- a-b- is equal to

The correct option is A [b⃗ c⃗ #160;a⃗]a⃗ Let ( #160;a⃗.a⃗ )b⃗× #160;c⃗+ ( #160;a⃗· #160;b⃗ )c⃗× #160;a⃗+ ( #160;a⃗· #160;c⃗ )a⃗× ...

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Scalar Triple Product

If a⃗, b⃗, ...

Question

If $\to a, \to b, \to c$ are three non coplanar non zero vectors, then $(\to a \cdot \to a) \to b \times \to c + (\to a \cdot \to b) \to c \times \to a + (\to a . \to c) \to a \times \to b$ is equal to

[\to b \to c \to a] \to a

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[\to c \to a \to b] \to b

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[\to a \to b \to c] \to c

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None of these

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Similar questions

\to a, \to b, \to c

\to p, \to q, \to r

\to p = \frac{\to b \times \to c}{[\begin{matrix} \to b & \to c & \to a \end{matrix}]}

\to q = \frac{\to c \times \to a}{[\begin{matrix} \to c & \to a & \to b \end{matrix}]}

\to r = \frac{\to a \times \to b}{[\begin{matrix} \to a & \to b & \to c \end{matrix}]}

(\to a + \to b) . \to p + (\to b + \to c) . \to q + (\to c + \to a) . \to r

\to a, \to b, \to c

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

If $\to a, \to b$ and $\to c$ are three non-coplanar vectors, then $(\to a + \to b + \to c) \cdot [(\to a + \to b) \times (\to a + \to c)]$ equals

\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

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