Share
Explore BrainMass

Parallel planes

Show that the following two planes are parallel and find the minimum distance between them:

x-2y+5z+4=0

-2x +4y -10z +9 =0

Solution Preview

Proof:
We have two planes:
x-2y+5z+4=0 (1)
-2x+4y-10z+9=0 (2)
We can do (1)*(-2) and get
-2x+4y-10z-8=0
Compared with equation (2), we know, they have no intersections.
Because for any ...

Solution Summary

This explains how to show that given planes are parallel.

$2.19