Find the equation of the plane passing through the intersection of the planes `4x-y+z=0\ a n d\ x+y-z=4` and parallel to the line with direction ratios proportional to 2, 1, 1.

Find the vector equation of the plane passing through the intersection of the planes x-2y+z=1 and 2x+y+z=8 and parallel to the line with direction ratios proportional to 1,2,1. Find also the perpendicular distance of (1,1,1) from this plane.

Find the equation of the plane through the intersection of the planes 3x-4y+5z=10 and 2x+2y-3z=4 and parallel to the line x=2y=3z

Find the equation of the plane passing through the intersection of the planes 4x-y+z=0 and x+y-z=0 and parallel to the line which direction ratios 2,1,1. Find also the perpendicular distance of (1,1,1) from this plane.

The equation of the line passing through the Intersection of planes x+2y-3z-4=0 and 3x-8y+z+2=0 is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x -axis is

Find the equation of the plane passing through the line of intersection of the planes 4x-5y-4z=1 and 2x=y+2z=8 and the point (2,1,3).

Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0 and x-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0

Find the equation of the plane passing through the line intersection of the plane: 2x-y=0 and 3z-y=0 and perpendicular to the plane 4x+5y-3z=8

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0\ a n d\ x-y+z+3=0 and passing through the origin.