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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If and then is equal to

Answer: (A)

Solution

Expanding both sides,

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

Take the dot product with . Since

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Question ID VK-109689