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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

The position vectors of three points are , and where are noncoplanar vectors. The points are collinear when

Answer: (C)

Solution

Call the points .

= -Missing argument for \vec\vec a - Missing argument for \vec\vec b + (λ - 3)Missing argument for \vec\vec c, = (μ - 2)Missing argument for \vec\vec a - 4Missing argument for \vec\vec b - 3Missing argument for \vec\vec c.

Collinear . Since

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Question ID VK-109615