1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Space Curve Intersecting a Parabloid

  1. Feb 24, 2013 #1
    1. The problem statement, all variables and given/known data

    At what point does the curve [itex]\vec{r}(t) = <t,0,2t-t^2>[/itex] intersects the paraboloid [itex]z=x^2+y^2[/itex]

    2. Relevant equations

    None Known

    3. The attempt at a solution

    I assume that it might be easier to parametrize [itex]z=x^2+y^2[/itex], but I'm not sure how to do that or if there's a more standard approach.

    I missed a day of class and I can't find any examples more than vaguely similar to this in the book. :\


    Thanks for any help!
     
  2. jcsd
  3. Feb 24, 2013 #2
    You can also try to de-parameterize ##\vec r(t)##. Hint: there won't be any y terms.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Space Curve Intersecting a Parabloid
  1. Curve of Intersection (Replies: 4)

  2. Intersection of curves (Replies: 3)

Loading...