The minimum volume of the parallalopiped formed by the vectors $\bar{i}+a \bar{j}+\bar{k}, \bar{j}+a…

The minimum volume of the parallalopiped formed by the vectors $\bar{i}+a \bar{j}+\bar{k}, \bar{j}+a \bar{k}$ and $a \bar{i}+\bar{k}$ is
  1. $\frac{1}{3 \sqrt{3}}$
  2. $\frac{1}{\sqrt{3}}$
  3. $\frac{3 \sqrt{3}-2}{3 \sqrt{3}}$
  4. $\frac{3 \sqrt{3}+2}{3 \sqrt{3}}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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