If a = i + j + k, b = - i + 2 j - 2 k and c = 2 i - j + 2 k, then ( a - b) [( a b) ( a c) ] is

MHT CET 2022 Mathematics question

If , and , then is

Answer: (D)

Compute each cross product. . $ a × c = (1· 2 - 1·(-1)) i - (1· 2 - 1· 2) j + (1·(-1) - 1· 2) k = 3 i + 0 j -

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Question ID VK-095957