Find the equation of the plane which passes through the point `(2,2,2)` and through the intersection of the planes `3x-y+2z=4` and `x + y+z = 2`.

Find the equation of the plane through the point (2,1,0) and passing through the intersection of the planes 3x-2y+z-1=0 and x-2y+3z=1 .

Find the equation of the plane through the point (2,1,0) and passing through the intersection of the planes 3x-2y+z-1=0 and x-2y+3z-1=0

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Find the equation of a plane which passes through the point (1,2,3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0

Find the equation of a plane which passes through the point (1, 2, 3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0 .

Find the equation of the plane passes through the point (2,3,5) and parallel to the plane x-3y+z=8 .

Find the equation of the plane passes through the point (2,3,5) and parallel to the plane x-3y+z=8 .

The equation of the plane passing through (1,-1,1) and through the line of intersection of the planes, x+2 y-3 z+1=0 and 3 x-2 y+4 z+3=0 is

Find the equation of the line passing through the point (4,-14,4) and intersecting the line of intersection of the planes : planes :3x+2y-z=5 and x-2y-27=-1 at right angles.

Find the equation of the plane passing through the point (1, -2, 3) and perpendicular to the planes x - y + 2z = 3 and 3x +2y - z = 4.