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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let . Let be a vector perpendicular to and it lies in the - plane. A vector in the - plane having projections 1 and 2 along and is

Answer: (A),(C)

Solution

Let ; , so (sign depends on the unknown sign of ). Since form an orthonormal basis of the - plane, the required vector is

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Question ID VK-109706