The equations of given planes are
                             ...(1)
and                      ...(2)
Any plane through the intersection of planes (1) and (2) is
            Â
or             ...(3)
It will pass through the point (1, 1, 1)
If   Â
PuttingÂ
       Â
or      Â
or      Â
which is the required vector equation of the plane.Â