Question

difficult vector field problem

http://math.stackexchange.com/questions/328367/vector-field-as-integral

Answer 1

this really has me stuck

Answer 2

I can't help with this one. But please post the solution, when or if you get it

Answer 3

ok. thanks anyway. is there anyone on here you think will be able to help?

Answer 4

@TuringTest

Answer 5

so far i have

\[F(R) = \oint \vec{R} \cdot (\vec{R} - 2\vec{r}) d\vec{r} + \oint{|\vec{r}|^2 d \vec{r}}\]

Answer 6

now the last integral is constant so i guess this is Q

Answer 7

yes and R dot R is |R|^2

Answer 8

\[\vec{F}(\vec{R}) = \oint{\vec{R} \cdot ( \vec{R} - 2 \vec{r})} d\vec{r} + \vec{Q}\]

Answer 9

it remains to write the integral that's left in the form \[\vec{R} \times \vec{P}\]