The volume of the tetrahedron, whose vertices are given by the vectors \[-\mathbf{i}+\mathbf{j}+\mathbf{k},\,\,\mathbf{i}-\mathbf{j}+\mathbf{k}\] and \[\mathbf{i}+\mathbf{j}-\mathbf{k}\]with reference to the fourth vertex as origin, is

The volume of the tetrahedron, whose vertices are given by the vectors

1.	The volume of the tetrahedron, whose vertices are given by the vectors \[-\mathbf{i}+\mathbf{j}+\mathbf{k},\,\,\mathbf{i}-\mathbf{j}+\mathbf{k}\] and \[\mathbf{i}+\mathbf{j}-\mathbf{k}\]with reference to the fourth vertex as origin, is
A.	\[\frac{5}{3}\]cubic unit
B.	\[\frac{2}{3}\] cubic unit
C.	\[\frac{3}{5}\]cubic unit
D.	None of these
Answer» C. \[\frac{3}{5}\]cubic unit

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The volume of the tetrahedron, whose vertices are given by the vectors \[-\mathbf{i}+\mathbf{j}+\mathbf{k},\,\,\mathbf{i}-\mathbf{j}+\mathbf{k}\] and \[\mathbf{i}+\mathbf{j}-\mathbf{k}\]with reference to the fourth vertex as origin, is

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