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Why does the unit vector in polar coordinates change with time when an objects position is changed?

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    $\begingroup$ Have you drawn a diagram? $\endgroup$
    – G. Smith
    May 31, 2020 at 4:27

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Intuitively, because the polar coordinate directions are relative. Whatever point I'm at, $\hat{r}$ points from that point, away from the origin. $\hat{r}$ (or $\theta$) vs $\hat{x}$ are not entirely dissimilar to "your left" vs "north". Which direction "left" is changes as you move around whereas north stays the same.

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  • $\begingroup$ Thanks mate bRost03 $\endgroup$
    – BlackSusanoo
    May 31, 2020 at 14:27

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