- #1
Nylex
- 552
- 2
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
.
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
.