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## Homework Statement

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]

[tex]z=z[/tex]

Could someone shed some light?Thank you.

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