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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let , and . Then

Answer: (B)

Solution

Expanding,

Missing argument for \vec\vecλ + Missing argument for \vec\vecμ + Missing argument for \vec\vecν = (Missing argument for \vec\vec a×Missing argument for \vec\vec b + Missing argument for \vec\vec b×Missing argument for \vec\vec a) + (Missing argument for \vec\vec b×Missing argument for \vec\vec c + Missing argument for \vec\vec c×Missing argument for \vec\vec b) + (Missing argument for \vec\vec c×Missing argument for \vec\vec a + Missing argument for \vec\vec a×Missing argument for \vec\vec c) = Missing argument for \vec\vec 0,

since . A linear relation

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Question ID VK-109632