JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

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

Answer: (C)

Solution

A vector in the plane of is

Missing argument for \vec\vec v = xMissing argument for \vec\vec a + yMissing argument for \vec\vec b = (x+y)Missing argument for \hat\hat i + (x-y)Missing argument for \hat\hat j + (x+y)Missing argument for \hat\hat k.

Projection on : , so .

He

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Question ID VK-110794