A plane passes through the point (1,1,1) and is parallel to the vectors `vec b = (1, 0, - 1) and vec c =(-1,1,0)`. If `pi` meets the axes in A, B, and C, find the volume of the tetrahedron OABC.

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 coordinate axes at A,B,C then find the volume of the tetrahedron OABC.

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 coordinate axes at A,B,C then find the volume of the tetrahedron OABC.

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the equation of a plane passing through (1,1,1) and parallel to the lines L_(1) and L_(2) direction ratios (1,0,-1) and (1,-1,0) respectively.Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Number of vectors of unit length perpendicular to the vectors vec(a)= (1, 1,0) and vec(b)= (0, 1,1) is