JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

The value of so that the volume of the parallelopiped formed by the vectors , and becomes minimum, is

Answer: (C)

Solution

V==1(1-0)-λ(0-λ^2)+1(0-λ)=λ^3-λ+1 .

Then gives , and at . So has a local minimum there,

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Question ID VK-110096