Prove that - a b- c-d- - - a b-d- - a b-c- d-

(a⃗×b⃗)× (c⃗×d⃗)=[(a⃗×b⃗)·d⃗]c⃗ [(a⃗×b⃗)·c⃗]d⃗=[a⃗b⃗d⃗]c⃗ [a⃗b⃗c⃗]d⃗ . ...

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Multiplication of a Vector by a Scalar

Prove that ...

Question

Prove that
$\to (a \to b) \times (\to c \to d) = [\to (a \to b \to d] \to [a \to b \to c] \to d$

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

\to a, \to b, \to c

\to d

(\to a \times \to b) \times (\to c \times \to d) = [\to a \to b \to d] \to c - [\to a \to b \to c] \to d

\to A B + \to A D + \to C B + \to C D = 4 \to E F

\to a, \to b, \to c

\to d

(\to a \times \to b) \times (\to c \times \to d) = [\to a \to c \to d] \to b - [\to b \to c \to d] \to a

[\begin{matrix} ¯ ¯ ¯ a & \to b & \to c \end{matrix}] = 4

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

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