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Parallel planes

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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

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Solution Summary

This explains how to show that given planes are parallel.

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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 ...

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