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Math Help - Tangent plane parallel to another plane

  1. #1
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    Tangent plane parallel to another plane

    The example i missed from my lectures is:
    Find all points on the ellipsoid 2x^2+3y^2+4z^2=9 at which the tangent plane is parallel to the plane x -2y +3x=5.

    How would you do this? Can someone show me please?
    Thanks
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by Sam1111 View Post
    The example i missed from my lectures is:
    Find all points on the ellipsoid 2x^2+3y^2+4z^2=9 at which the tangent plane is parallel to the plane x -2y +3x=5.

    How would you do this? Can someone show me please?
    Thanks
    A very similar question was asked and solved here. Use the same method; just substitute in your numbers.
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  3. #3
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    Thanks
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  4. #4
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    Would you be able to finish this problem for me. I can understand it but (x,y,z) must be on the surface so they have to satisfy the original surface equation right?

    So I put the scaled values of (x,y,z) into 2x^2+3y^2+4z^2=9

    When I went through the problem I got these large and awkward numbers so I'm thinking I messed up somewhere.

    Thanks
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