If a = i - j + k , b =2 i +3 j +2 k and c = i +m j +n k are three coplanar vectors and | c |= 6 , then which one of the following is correct?

NDA 2017 Mathematics question

If , and are three coplanar vectors and , then which one of the following is correct?

Answer: (D)

Coplanarity: $ = (3n-2m)+(2n-2)+(2m-3) = 5n-5 = 0

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Question ID VK-028637