The value of 'a' so that the volume of parallelopiped formed by \[\mathbf{i}+a\mathbf{j}+\mathbf{k},\mathbf{j}+a\,\mathbf{k}\] and \[a\,\mathbf{i}+\mathbf{k}\] becomes minimum is [IIT Screening 2003]

The value of 'a' so that the volume of parallelopiped formed by \[\mat

1.	The value of 'a' so that the volume of parallelopiped formed by \[\mathbf{i}+a\mathbf{j}+\mathbf{k},\mathbf{j}+a\,\mathbf{k}\] and \[a\,\mathbf{i}+\mathbf{k}\] becomes minimum is [IIT Screening 2003]
A.	-3
B.	3
C.	\[\frac{1}{\sqrt{3}}\]
D.	\[\sqrt{3}\]
Answer» D. \[\sqrt{3}\]

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