If a → , b → and c → are three non-zero and non-coplanar vectors such that a → b → c → = 4 , then the value of a → + 3 b → - c → ⋅ a → - b → × a → - 2 b → - 3 c → is equal to

Question

If a → , b → and c → are three non-zero and non-coplanar vectors such that a → b → c → = 4 , then the value of a → + 3 b → - c → ⋅ a → - b → × a → - 2 b → - 3 c → is equal to, 40, 44, 48, 52

MARKS App · Accepted Answer

a → + 3 b → - c → ⋅ a → - b → × a → - 2 b → - 3 c → = 1 3 - 1 1 - 1 0 1 - 2 - 3 a → b → c → = 1 3 - 3 - 3 - 1 - 2 + 1 × 4 = 13 × 4 = 5 2

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