Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Planes tangent to a surface

  1. Feb 24, 2005 #1
    Is there a point on the surface of x^2-3y^2+2z=4 where the tangent plane is parallel to the plane 2x+y-z=4?

    I can find a plane tangent to the surface at a certain point, but I'm lost on this one. Any help will be appretiated.
    Last edited by a moderator: Feb 25, 2005
  2. jcsd
  3. Feb 24, 2005 #2


    User Avatar
    Homework Helper

    Find the tangent plane to the surface at a point (x1,y1,z1).

    Then see if there's any (x1,y1,z1) such that this plane is parallel to 2x+y-z=4
    Last edited: Feb 24, 2005
  4. Feb 25, 2005 #3


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    This might work:
    Compute the vector field of normals to your surface.
    Check if your vector field is equal at some point to the normal of your plane.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook