# Parallel planes

Not what you're looking for? Search our solutions OR ask your own Custom question.

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

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:28 pm ad1c9bdddfhttps://brainmass.com/math/algebra/lines-planes-minimums-103492

#### 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 point ...

#### Solution Summary

This explains how to show that given planes are parallel.

$2.49