The problem is :''Resolve the cartesian unit vectors into their cylindrical components(using scale factors)
The Attempt at a Solution
It's simple to do the inverse(resolving cylindricl unit vectors into cartesian components),but I'm having some ''trouble'' with the above problem.
I know the answer is:
[tex]x=\rho\cos\varphi - \varphi\sin\varphi[/tex]
[tex]y=\varphi\sin\varphi + \varphi\cos\varphi[/tex]
Could someone shed some light?Thank you.