Volume of parallelepiped with co terminus edge as a-b-c- is

The correct options are A [a⃗ b⃗ c⃗] B a⃗.(b⃗×c⃗) The volume of parallelopiped = area of base × height #160;SO #160; volume= | a⃗ ...

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Volume of par...

Question

Volume of parallelepiped with co terminus edge as $\to a, \to b, \to c$ is

[\to a \to b \to c]

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

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

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

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

\frac{\to a . (\to b \times \to c)}{(\to c \times \to a) . \to b} + \frac{\to b . (\to c \times \to a)}{(\to a \times \to b) . \to c} + \frac{\to c . (\to a \times \to b)}{(\to b \times \to c) . \to a} =

V

\to a, \to b, \to c

27

\to α = \to a + \to 2 b - \to c, \to β = \to a - \to b

\to γ = \to a - \to b - \to c

[\begin{matrix} \to a & \to b & \to c \end{matrix}] = 1

\frac{\to a . \to b \times \to c}{\to c \times \to a . \to b} + \frac{\to b . \to c \times \to a}{\to a \times \to b . \to c} + \frac{\to c . \to a \times \to b}{\to b \times \to c . \to a}

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

(\to a . \to b) \neq 0

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

\to a, \to b, \to c

4

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

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