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JEE Main 2019 · 12 April · Shift I

JEE Main 2019 Mathematics question on Vector Algebra

If the volume of parallelopiped formed by the vectors i^+λj^+k^\hat{i} + \lambda\hat{j} + \hat{k}, j^+λk^\hat{j} + \lambda\hat{k} and λi^+k^\lambda\hat{i} + \hat{k} is minimum, then λ\lambda is equal to
  1. A.
    −13-\dfrac{1}{\sqrt{3}}
  2. B.
    13\dfrac{1}{\sqrt{3}}
  3. C.
    3\sqrt{3}
  4. D.
    −3-\sqrt{3}
Show answer

Correct option: B

[JEE Main 2019 · 12 April · Shift I]

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