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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If and are unit vectors such that and then

Answer: (C)

Solution

Write , . Then

(Missing argument for \vec\vec a×Missing argument for \vec\vec b)·(Missing argument for \vec\vec c×Missing argument for \vec\vec d) = θ_1θ_2 (Missing argument for \hat\hat ·Missing argument for \hat\hat = 1.

Each factor has absolute value , so and : $Missing argument for \vec\vec

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Question ID VK-110717