F a- and b- are perpendicular- then a-a-a-a-b- is equal to -

A×(a×(a×(a×b)))=a×(a× ((a·b)a |a|^2b) = a×( |a|^2(a×b)) = |a|^2((a·b)a |a|^2b)) = (a·b)a|a|^2+|a|^4b =|a|^4b (∵a·b=0) ...

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Vector Triple Product

f a⃗ and b⃗ a...

Question

If $\to a$ and $\to b$ are perpendicular, then $\to a \times (\to a \times (\to a \times (\to a \times \to b)))$ is equal to :

\frac{1}{2} | \to a |^{4} \to b

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\to a \times \to b

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| \to a |^{4} \to b

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\to 0

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Solution

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