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Thread: Finding Cartesian form for a plane in R3 in parametric form

  1. #1
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    Finding Cartesian form for a plane in R3 in parametric form

    Hi,

    I'm stuck on a really simple question of changing a plane to a Cartesian form.

    <x,y,z>=<1,2,3>+a<-1,1,-1>+b<1,0,1>

    Here's what I have so far:

    x=1-a+b
    y=2+a
    z=3-a+b

    x-z=-2

    From here, I'm stuck finding y in terms of anything. Any attempt to find y in terms of x and z just leads to circles.

    Please help!

    Thank you!
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  2. #2
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    Re: Finding Cartesian form for a plane in R3 in parametric form

    Quote Originally Posted by JDoops View Post
    Hi,

    I'm stuck on a really simple question of changing a plane to a Cartesian form.

    <x,y,z>=<1,2,3>+a<-1,1,-1>+b<1,0,1>

    Here's what I have so far:

    x=1-a+b
    y=2+a
    z=3-a+b

    x-z=-2

    From here, I'm stuck finding y in terms of anything. Any attempt to find y in terms of x and z just leads to circles.

    Please help!

    Thank you!
    you have the correct answer

    $x - z = -2$

    $a=1,~b=0,~c=-1,~d=-2$
    Thanks from JDoops
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