The value of a so that the volume of the parallelopiped formed by the vectors i +a j - k…

Mathematics · JEE Advanced · NTA ExamsThree Dimensional Geometry

The value of a so that the volume of the parallelopiped formed by the vectors \(\hat{i}+a \hat{j}-\hat{k}, \hat{j}+a \hat{k}, \hat{i}+\hat{j}+\hat{k}\) becomes minimum is
  1. \(\sqrt{3}\)
  2. \(\frac{1}{2}\)
  3. \(\frac{1}{\sqrt{3}}\)

Answer

(B) 1 2

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