question_answer

Find the value of 'a' for which the volume of parallelepiped formed by the vectors \[\hat{i}+a\hat{j}+\hat{k},\hat{j}+a\hat{k}\,\,\,\,and\,\,\,a\hat{i}+\hat{k}\]is minimum.

A)   \[0\]               

B)   \[\frac{1}{\sqrt{3}}\]    

C)  \[\sqrt{3}\]                   

D)  \[2\sqrt{3}\]