Three Dimensional Geometry

A plane is parallel to two lines, whose direction ratios are \(1,0,-1\) and \(-1,1,0\) and it contains the point \((1,1,1)\). If it cuts co-ordinate axes \((\mathrm{X}, \mathrm{Y}, \mathrm{Z}\) - axes resp.) at \(\mathrm{A}, \mathrm{B}, \mathrm{C}\), then the volume of the tetrahedron \(\mathrm{OABC}\) is _________ cu. units.