If a= i+2 j+ k, b= i- j+ k, c= i+ j- k, then a vector in the plane of a and b, whose projection on c is 1 3 , is

MHT CET 2023 Mathematics question

If , then a vector in the plane of and , whose projection on is , is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

A vector in the plane of and is perpendicular to . , so the plane is , i.e. the x- and z-components must be equal. Only option (c) satisfies this (indeed

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Question ID VK-095393