Cylindrical polar co-ordinates

  • Thread starter Nylex
  • Start date
My notes have an example of verifying the divergence theorem using cylindrical polars.

There's a vector field, A(r) = x(x-hat) + y(y-hat) + z^2(z-hat) and my notes say:

"Note that rho-hat = cos phi(x-hat) + sin phi(y-hat) and phi-hat = -sin phi(x-hat) + cos phi(y-hat) and so

A(r) = rho(rho-hat) + z^2(z-hat)".

Why?? I can't see any obvious connection between phi-hat, rho-hat and x and y :confused:.

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