difficult vector field problem

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

Question

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

anonymous · Answer

this really has me stuck

phi · Answer

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

anonymous · Answer

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

anonymous · Answer

@TuringTest

anonymous · Answer

so far i have

$$F(R) = \oint \vec{R} \cdot (\vec{R} - 2\vec{r}) d\vec{r} + \oint{|\vec{r}|^2 d \vec{r}}$$

anonymous · Answer

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

phi · Answer

yes and R dot R  is |R|^2

anonymous · Answer

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

anonymous · Answer

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

experimentx · Answer

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