If a= i+ j+ k, b= i- j+2 k, c=x i+(x-2) j- k and c linear combination of a and b, then x has the value

MHT CET 2022 Mathematics question

If and linear combination of and , then has the value

Answer: (B)

is a linear combination of iff the three vectors are coplanar, i.e. . . Setting gives , option (B).

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Question ID VK-093712