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Surface intersected by line parallel to x-axis

  1. Sep 18, 2013 #1
    Problem:

    Consider ## I=\int_S \vec{v} \cdot d \vec{S}=\int_S \vec{v} \cdot \hat{n} dS##, where S is a surface that is intersected once by an line parallel to the x-axis. Show that [tex] dS=\frac{|\nabla f|}{\partial f/ \partial x}dy \ dx[/tex], and that therefore, [tex]I=\int_S \vec{v} \cdot \frac{\nabla f}{\partial f/ \partial x} dy \ dz[/tex]

    Attempt at a Solution:

    Not really sure where to start...:confused:
     
  2. jcsd
  3. Sep 19, 2013 #2

    tiny-tim

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    hi wifi! :smile:

    what do you think f is? :wink:
     
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