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Math Help - intersection of a plane

  1. #1
    Senior Member euclid2's Avatar
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    intersection of a plane

    describe the shape of the intersection of the plane z=-3 and the plane y=z in three space.
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  2. #2
    A Plied Mathematician
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    What ideas have you had so far?
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  3. #3
    Senior Member euclid2's Avatar
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    I don't really have any ideas. I know what the plane z=-3 looks like... parallel to the xy plane 3 units along the z axis in the negative direction.. but I don't know know what y=z is.
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    See here for a very similar thread.
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  5. #5
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    Quote Originally Posted by euclid2 View Post
    I don't really have any ideas. I know what the plane z=-3 looks like... parallel to the xy plane 3 units along the z axis in the negative direction.. but I don't know know what y=z is.
    If z= -3 and y= z, then y= -3 seems pretty obvious??? And there is no restriction at all on x is there? In terms of parametric equations, with t as parameter,

    x= ............?
    y= ............?
    z= ............?
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