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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


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    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


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    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.
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