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Just help me to check homework on vector calculus

  1. Mar 11, 2006 #1
    just help me to check homework on vector calculus :)

    Find the equation of the normal vector, tangent plane, and the normal line to
    the graph of the equation at point P.

    here's the equation and my solution:

    [​IMG]
    [​IMG]

    please help me verify if my answer is correct. tqvm!
     
    Last edited: Mar 12, 2006
  2. jcsd
  3. Mar 12, 2006 #2

    HallsofIvy

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    Do you understand that most people are not going to download a file from someone they don't know?
     
  4. Mar 12, 2006 #3
    sorry. changed it to jpeg. :)
     
  5. Mar 12, 2006 #4

    HallsofIvy

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    Yes, very nicely done!

    Those of us who dislike fractions (third grade trauma!) might prefer

    2x- y+ 2z= 0 for the tangent plane (multiply your equation by -2) and
    [2t, 2- 2t, 1+ 2t] for the normal line (replace your t by -2t) but your equations are completely correct.
     
    Last edited: Mar 12, 2006
  6. Mar 12, 2006 #5
    HoI, thank you very much!
     
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