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Math Help - Trajectory as an intersection of two surfaces

  1. #1
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    Trajectory as an intersection of two surfaces

    Well, I must express this trajectory: \vec{r}=(t^2,2t,t^2) as an intersection of two surfaces. I really don't know how to work this. It seems to be some kind of parabola, I've tried to figure it out how it would look, and I get how it would look on the planes xy and xz, but I'd really like to see some step by step for solving this. I couldn't get anywhere yet.

    Bye, and thanks off course.
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  2. #2
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    In looking at your trajectory there, can you come up with any relationships between the different components of your vector?
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  3. #3
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    I've solved it.
    x=t
    y=2t -> x=z
    z=t
    y=4t=4x
    y=4x

    And thats it
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  4. #4
    A Plied Mathematician
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    Looks good. Glad you got it.
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