Question

Find the equation of the plane through the intersection of the planes

3x-y+2z-4=0 and x+y+z-2=0 and the point (2,2,1)

Answer 1

The equation of any plane through the intersection of the planes, 3x − y + 2z − 4 = 0 and x + y + z − 2 = 0, is

The plane passes through the point (2, 2, 1). Therefore, this point will satisfy equation (1).

This is the required equation of the plane.