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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let , and . A vector in the plane of and whose projection on is is

Answer: (B)

Solution

A vector in the plane of is

Missing argument for \vec\vec v = λMissing argument for \vec\vec a + μMissing argument for \vec\vec b = (λ + μ)Missing argument for \hat\hat i + (2λ - μ)Missing argument for \hat\hat j + (λ + μ)Missing argument for \hat\hat k.

Note that its - and -components are always equal. Its projection on is

= Missing argument for \frac\frac{(λ + μ) + (2λ -

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Question ID VK-110521