I am wondering how can I find the infinitesimal displacement in any coordinate system. For example, in spherical coordinates we have the folow relations:(adsbygoogle = window.adsbygoogle || []).push({});

[itex] x = \, \rho sin\theta cos\phi[/itex]

[itex]y = \, \rho sin\theta sin\phi[/itex]

[itex]z = \, \rho cos\theta [/itex]

And we have that [tex]d\vec l = dr\hat r +rd\theta\hat \theta + r sin\theta d\phi \hat \phi [/tex]

How do I found this for any system? What book has this explanation? I am not finding.

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# Find infinitesimal displacement in any coordinate system

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