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Math Help - help with 3d vectors

  1. #1
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    help with 3d vectors

    how do you find the intersection of planes.
    For example,

    -2x+3y-4z=3
    4x +2y+5z=5
    x+6y+3z=5

    am having trouble getting my head around it?
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  2. #2
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    Quote Originally Posted by psupernak View Post
    how do you find the intersection of planes.
    For example,

    -2x+3y-4z=3
    4x +2y+5z=5
    x+6y+3z=5

    am having trouble getting my head around it?
    Wouldn't you just find the (x, y, z) that satisfies all 3 equations?

    For convenience in calculations, I'll switch the first and third equations.

    x + 6y + 3z = 5

    4x + 2y + 5z = 5

    -2x + 3y - 4z = 3


    R_2 - 4R_1 \to R_2 and R_3 + 2R_1 \to R_3


    x + 6y + 3z = 5

    -22y - 7z = -15

    15y + 2z = 13


    Can you go from here?
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  3. #3
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    um, not really sure what you did? or what to do next.
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  4. #4
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    I would do some research on solving systems of equations.

    I have used a method known as Gaussian Elimination.
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