# Question about Graphing Planes

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• Sep 29th 2011, 07:40 PM
twittytwitter
Question about Graphing Planes
Suppose you have a plane like 3x-12y+5z=30.

The intercepts then are (4,0,0), (0,6m0), (0,0,3)

So we plot them to get a triangular region, but does that mean this plane has a finite region or does it continue on forever?
• Sep 29th 2011, 08:05 PM
TKHunny
Re: Question about Graphing Planes
Words mean things. Don't magically assign new meanings because you have some additional information.

A plane is an infinite region.
Intercepts are points in the plane.
Intercepts do NOT define the limits fo the plane.
The triangular region is contained in the plane.
• Sep 29th 2011, 08:09 PM
twittytwitter
Re: Question about Graphing Planes
Ok, got that part now.

One more question....

does it matter which axis you call x, y, and z if you are making a 2D representation of a 3D coordinate system? I've seen most places make the z axis pointing outwards, but since you can rotate, can you label the axes arbitrarily?