Mathematics · 2019
JEE Main · 12 April 2019, Shift 1 · Q83
If the volume of parallelopiped formed by the vectors i +λ j + k, j +λ k and λ i + k is minimum, then λ is equal to:
If the volume of parallelopiped formed by the vectors $\displaystyle \hat{i}+\lambda \hat{j}+\hat{k}, \hat{j}+\lambda \hat{k}$ and $\displaystyle \lambda \hat{i}+\hat{k}$ is minimum, then $\displaystyle \lambda$ is equal to:
Official answer
(3)
$\displaystyle \frac{1}{\sqrt{3}}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.