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Math Help - Drawing a plane

  1. #1
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    Drawing a plane

    How can I draw a plane with 2 vectors coming out of it from one point at 2 different angles?

    It is a plane of the form ax + by + cz = 0 with 2 vectors <a,b,c> and <u,v,w> coming out of the plane from the same point.
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  2. #2
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    Re: Drawing a plane

    Quote Originally Posted by dwsmith View Post
    How can I draw a plane with 2 vectors coming out of it from one point at 2 different angles?
    It is a plane of the form ax + by + cz = 0 with 2 vectors <a,b,c> and <u,v,w> coming out of the plane from the same point.
    Actually that question really is confused.
    For one, there is only one angle between any two vectors.

    A plane ax+by+cz=0 contains the origin (0,0,0).
    But more important, the vector <a,b,c> is perpendicular to any vector parallel to that plane.

    Now maybe you can rephrase the question.
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    Re: Drawing a plane

    Quote Originally Posted by Plato View Post
    Actually that question really is confused.
    For one, there is only one angle between any two vectors.

    A plane ax+by+cz=0 contains the origin (0,0,0).
    But more important, the vector <a,b,c> is perpendicular to any vector parallel to that plane.

    Now maybe you can rephrase the question.
    By 2 different angles, I meant that <a,b,c> comes out at a 90 degree angle and the other one comes from the same point at some other angle.
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    Re: Drawing a plane

    Quote Originally Posted by dwsmith View Post
    By 2 different angles, I meant that <a,b,c> comes out at a 90 degree angle and the other one comes from the same point at some other angle.
    Well that is somewhat clearer.
    So to the OP.
    Any two non-parallel vectors and a point determine a unique plane.
    Given vectors U~\&~V and point (l,m,n)
    the plane they determine is (U\times V)\cdot<x-l,y-m,z-n>=0
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    Re: Drawing a plane

    Quote Originally Posted by Plato View Post
    Well that is somewhat clearer.
    So to the OP.
    Any two non-parallel vectors and a point determine a unique plane.
    Given vectors U~\&~V and point (l,m,n)
    the plane they determine is (U\times V)\cdot<x-l,y-m,z-n>=0
    I am trying to draw this with the tikz latex package.
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    Re: Drawing a plane

    As far as I know, LaTeX is a text formating language (with some diagram capabilities), not a "graphics" program. There is no way of "drawing" in LaTeX except by inserting graphics created through another program.
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