Find the equation of the image of the plane `x-2y+2z-3=0` in plane `x+y+z-1=0.`

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

Find the equations of the bisectors of the angles between the planes 2x-y+2z+3=0a n d3x-2y+6z+8=0 and specify the plane which bisects the acute angle and the plane which bisects the obtuse angle.

Find the equations of the bisectors of the angles between the planes 2x-y+2z+3=0a n d3x-2y+6z+8=0 and specify the plane which bisects the acute angle and the plane which bisects the obtuse angle.

Find the equation of a plane which is parallel to the plane x-2y+2z=5 and whose distance from thepoint (1,2,3) is 1.

Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

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

Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

Find the equation of the plane through the intersection of the planes x + 3y + 6 = 0 and 3x - y - 4z = 0 whose perpendicular distance from the orgin is equal to 1.

Find the equation of the plane containing the line of intersection of the planes x + y + z - 6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1,1,1)

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.