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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If and then is equal to

Answer: (B),(C)

Solution

Take the cross product of with on the left:

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

Since (and assuming $Missing argument for \vec\vec a·Missing argument for \vec\vec

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Question ID VK-109712