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Mathematical physics line/surface integral problem

  1. Apr 22, 2013 #1
    1. The problem statement, all variables and given/known data

    i have to show that the lenght of line integral squared on surface (ds^2) , which has vectorequation r=r(u,v) (r here is a vector), can be given as ds^2=Edu^2+2Fdudv+Gdv^2 (Find functions E,G,F)

    2. Relevant equations
    I should use diferential dr=du(t)e1+dv(t)e2 (dr, e1 and e2 here are vectors )
    ds=|dr/dt|dr (dr here is vector)
    dS=dS/n (dS/n is a vector )

    3. The attempt at a solution
    I'm pretty much stuck at the beginning , i don't see how those relevant equations help me here ?
    Probably i should do something with dS/n.
    Sorry for bad english and possibly translation, point out mistakes so i can learn.
     
  2. jcsd
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