- #1
blackhole007
- 4
- 0
Homework Statement
compute the curl of:
[tex]\vec{r}[/tex]
and
[tex]\frac{\vec{r}}{r^3}[/tex]
Homework Equations
[tex]\vec{r}=x\hat{x}+y\hat{y}+z\hat{z}[/tex]
[tex]r^3=(x^2+y^2+z^2)^\frac{3}{2}[/tex]
The Attempt at a Solution
I figured out that the curl of [tex]\vec{r} = 0[/tex] as my book says it should be...
however...I also need to prove the second vector field up there also is equal to 0...Is it as simple as saying this?:
since [tex]∇\times\vec{r}=0 [/tex]... therefore, [tex]∇\times\vec{r}(\frac{1}{r^3})=0[/tex] as well. ?
My book states that we should be able to see that these equal zero before doing the calculations to save us time
Last edited: