# Unit vector in polar coordinate system [closed]

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

• Have you drawn a diagram? May 31, 2020 at 4:27

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.