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Math Help - vector calculus finding the surface normal

  1. #1
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    vector calculus finding the surface normal

    okay i was reading the book "div, grad cur and all that"
    i've just started for my exam. but i got stuck in the beginning. i'm attaching the page cuz i really dont get it .
    basically pages 14 and 15. i dont get how they calculate the components of u and v.
    if someone explains u i'll get v obviously.
    thanks
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  2. #2
    Member Altair's Avatar
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    Simple :-

    Write the surface in parametric form i.e r(u,v) then find partial derivative of this parameteric representation with respect to u and v which will give you r_u and r_v.

    Then their cross product will give the Normal to the surface,

    N = r_u x r_v
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