My notes have an example of verifying the divergence theorem using cylindrical polars.(adsbygoogle = window.adsbygoogle || []).push({});

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

"Note thatrho-hat= cos phi(x-hat) + sin phi(y-hat) andphi-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 .

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cylindrical polar co-ordinates

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**