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Curvilinear coordinate, derivative

  1. Oct 8, 2015 #1
  2. jcsd
  3. Oct 8, 2015 #2

    Geofleur

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    It might help to look at a specific example, and 2D polar coordinates is a good one to start with. Take ## u_1 = r ## and draw a picture of ## \frac{\partial \mathbf{r}}{\partial r} ## at some point. It points radially away from the origin. Now note that surfaces of constant ## r ## are just circles centered at the origin. The gradient is indeed normal to each such surface at the appropriate points.
     
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