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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

are three vectors of which every pair is noncollinear. If the vectors and are collinear with and respectively then is

Answer: (B)

Solution

Write and . Subtracting,

Missing argument for \vec\vec a - Missing argument for \vec\vec c = tMissing argument for \vec\vec c - sMissing argument for \vec\vec a ⇒ (1+s)Missing argument for \vec\vec a = (1+t)Missing argument for \vec\vec c.

Sin

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Question ID VK-109613