. . Distance between two parallel planes Theorem . The distance between two parallel planes ax by cz ax by cz is given by Proof Let A x y z be any point on the plane ax by cz , then we have ax by cz ⇒ ax by cz The distance of the plane ax by cz from the point A x y z is given by δ = ax by cz Hence, the distance between two parallel planes ax by cz ax by cz is given by δ = Vector - - Applications of Vector Algebra Example .
Find the distance between the parallel planes + = and We know that the formula for the distance between two parallel planes ax by cz ax by cz is δ . Rewrite the second equation as Comparing the given equations with the general equations, we get , , , , Substituting these values in the formula, we get the distance δ + − units. Example . Find the distance between the planes