Consider the point P(1,1,1). In cylindrical polar coordinates, this can be expressed as $\sqrt(2)e_r$ + $e_z$ . I am unsure as to why it cannot be expressed as $\sqrt(2)e_r$ +$\frac{\pi}{4}$ $e_{\theta}$ + $e_z$? May someone explain why this is not the case?
2026-03-26 17:51:34.1774547494
Basis vectors in different coordinates
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