If b and c are two non colinear vectors such that a - bc then prove that ab - ac is equal to - a -2 b - c -

Given a⃗ ||(b⃗ .c⃗ ) i.e.,angle between a⃗& (b⃗ .c⃗ )= 0 ^∘ #160; i.e., a⃗× (b⃗c⃗ )=0 ⇒ [a⃗b⃗c⃗ ]=0 ∴ (a⃗b⃗ ).(a⃗c⃗ )=a⃗ (a⃗c⃗ )b⃗ ...

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Vector Addition

If b and ...

Question

If $\to b$ and $\to c$ are two non colinear vectors such that $\to a$ $∥$ $(\to b \to c)$ then prove that $(\to a \to b) . (\to a \to c)$ is equal to ${∣ ∣ \to a ∣ ∣}^{2}$ $(\to b . \to c)$ .

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