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Math Help - Question about Graphing Planes

  1. #1
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    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?
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  2. #2
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    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.
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  3. #3
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    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?
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