If a- b- c- are non coplanar non zero vectors- then the value of a-b- - a-c- - b-c- - b-a- - c-a- - c-b- is

The correct option is D [ a⃗ b⃗ c⃗ ] ( a⃗+b⃗+c⃗ ) ( a × b )× ( a × c )+( b × c )× ( b × a )+( c × a )× ( c × b ) #160; = b ( a · ( a × ...

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Vector Triple Product

If a⃗, b⃗, ...

Question

If $\to a, \to b, \to c$ are non coplanar non zero vectors, then the value of $(\to a \times \to b) \times (\to a \times \to c) + (\to b \times \to c) \times (\to b \times \to a) + (\to c \times \to a) \times (\to c \times \to b)$ is

{[\begin{matrix} \to a & \to b & \to c \end{matrix}]}^{2} (\to a + \to b + \to c)

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[\begin{matrix} \to a & \to b & \to c \end{matrix}] (\to a + \to b + \to c)

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None of these

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Solution

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Similar questions

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 p = \frac{\to b \times \to c}{[\to a \to b \to c]}

\to q = \frac{\to c \times \to a}{[\to a \to b \to c]}

\to r = \frac{\to a \times \to b}{[\to a \to b \to c]}

(2 \to a + 3 \to b + 4 \to c) . \to p + (2 \to b + 3 \to c + 4 \to a) . \to q +

(2 \to c + 3 \to a + 4 \to b) . \to r =

\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

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 \to b \to c] = 4

[\to a \times \to b

\to b \times \to c

\to c \times \to a] = ?

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