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If a, b, c and d are distinct vectors satisfying relation a × b = c × d and a × c = b × d. Prove that a.b + c.d + a.c + b.d

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If a, b, c and d are distinct vectors satisfying relation a × b = c × d and a × c = b × d. Prove that a.b + c.d + a.c + b.d

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Given, 

a × b = c × d and a × c = b × d

Hence, the result.

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