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

The correct option is B 3[ a⃗ b⃗ c⃗ ] We have [ a⃗+b⃗+c⃗ amp; a⃗ c⃗ amp; a⃗ b⃗ ] #160; = 1 amp; 1 amp; 1 1 amp; 0 amp; ...

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Addition and Subtraction of a Matrix

If a⃗, b⃗, ...

Question

If $\to a, \to b, \to c$ are three non coplanar vectors then $[\begin{matrix} \to a + \to b + \to c & \to a - \to c & \to a - \to b \end{matrix}]$ is equal to

0

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

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- 3 [\begin{matrix} \to a & \to b & \to c \end{matrix}]

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2 [\begin{matrix} \to a & \to b & \to c \end{matrix}]

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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 =

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

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

¯ ¯ ¯ p, ¯ ¯ ¯ q, ¯ ¯ ¯ r

\to p = \frac{\to b \times \to c}{[\begin{matrix} \to a & \to b & \to c \end{matrix}]}, \to q = \frac{\to c \times \to a}{[\begin{matrix} \to a & \to b & \to c \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 c) . (\to p + \to q + \to r)

[\to a \to b \to c] = 2

[(\to a + 2 \to b - \to c (\to a - \to b) (\to a - \to b - \to c)]

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