Let a = i + j + k, b = i - j + k and c = i - j - k be three vectors. A vector v in the plane of a and b, whose projection on c is 1 3 , is given by

JEE Advanced 2011 Mathematics question

Let , and be three vectors. A vector in the plane of and , whose projection on is , is given by

Answer: (C)

A vector in the plane of and is ; note that its x- and z-components must be equal. Projection on : $ = {(α + β) - (α - β)

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Question ID VK-025923