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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

The unit vector which is orthogonal to the vector and is coplanar with the vectors and is

Answer: (C)

Solution

A vector in the plane of and perpendicular to is

Missing argument for \vec\vec a×(Missing argument for \vec\vec b×Missing argument for \vec\vec c) = (Missing argument for \vec\vec a·Missing argument for \vec\vec c)Missing argument for \vec\vec b - (Missing argument for \vec\vec a·Missing argument for \vec\vec b)Missing argument for \vec\vec c.

, . So the vector is \vec\vec\vec\vec\vec\vec$ k) =

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Question ID VK-110462