The value of a so that the volume of the parallelopiped formed by the vectors i +a j - k…
Mathematics · JEE Advanced · NTA Exams — Three 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
- \(\sqrt{3}\)
- \(\frac{1}{2}\)
- \(\frac{1}{\sqrt{3}}\)

Answer
(B) 1 2
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