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Math Help - Planes

  1. #1
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    Planes

    Hello,
    I am using the equation Ax + By + Cz + D = 0 to find the equation of a plane through a couple of points and use the Cramer's rule to solve for A,B,C,D.

    But what do the A, B,C, D stand for?

    I can't find anything on the internet (Maybe I should look harder but I thought I'd ask ) about how to find the angle this plane makes with the origin. How do we find that?
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  2. #2
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    Quote Originally Posted by Mathasker
    Hello,
    I am using the equation Ax + By + Cz + D = 0 to find the equation of a plane through a couple of points and use the Cramer's rule to solve for A,B,C,D.

    But what do the A, B,C, D stand for?

    I can't find anything on the internet (Maybe I should look harder but I thought I'd ask ) about how to find the angle this plane makes with the origin. How do we find that?
    Hello,

    I presume that you have done a little bit vector geometry.

    You can write the equation:

    A, B, C ) \cdot \vec{x} +D=0" alt="P A, B, C ) \cdot \vec{x} +D=0" />

    The vector (A,B,C) is the normal(?) vector of the plane and stands perpendicular to the plane.

    D divided by the absolute value of vector (A,B,C) gives the distance of the origin to the plane.

    Greetings

    EB
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