Find the vector equation of the plane through the line of intersection of the planes `x+y+z=1\ a n d\ 2x+3y+4z=5` which is perpendicular to the plane `x-y+z=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 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 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 . Then find the distance of plane thus obtained from the point A(1,3,6) .

Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=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 passing through the intersection of the planes 2x-3y+z-4=0a n dx-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0.

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

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 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.

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 origin is unity.