- #1
Calculuser
- 49
- 3
I've been working on Multivariable Calculus with a few books. In Vector Analysis, I've had some parts which made some questions come up in my mind. I have two questions about them.
1)Can we think of surface normal vector ([itex]\vec{n}[/itex]) as a vector field ([itex]\vec{F}[/itex]) or just a position vector ([itex]\vec{r}[/itex]) which doesn't make sense to me?
2)Do we always have to parametrize a surface with two variables ([itex]\vec{r}(u,v)[/itex]) which I haven't seen any of ([itex]\vec{r}(t)[/itex]) giving us a single variable parameterized surface? Why?
Thanks..
1)Can we think of surface normal vector ([itex]\vec{n}[/itex]) as a vector field ([itex]\vec{F}[/itex]) or just a position vector ([itex]\vec{r}[/itex]) which doesn't make sense to me?
2)Do we always have to parametrize a surface with two variables ([itex]\vec{r}(u,v)[/itex]) which I haven't seen any of ([itex]\vec{r}(t)[/itex]) giving us a single variable parameterized surface? Why?
Thanks..