1
$\begingroup$

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

$\endgroup$
1
  • 1
    $\begingroup$ Have you drawn a diagram? $\endgroup$
    – G. Smith
    May 31, 2020 at 4:27

1 Answer 1

2
$\begingroup$

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.

$\endgroup$
1
  • $\begingroup$ Thanks mate bRost03 $\endgroup$ May 31, 2020 at 14:27

Not the answer you're looking for? Browse other questions tagged or ask your own question.