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JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

Consider three vectors , , . Let || = 2, || = 3 and . If α ∈ is the angle between the vectors and , then the minimum value of 27||² is equal to:

Answer: (C)

Solution

and |a| = |b||c| sin α gives |c| = 2/(3 sin α). Then 27|c − a|² =

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Question ID VK-011644