How to Prove the Solid Angle Formula for Vector Fields?

[Jana]

Hello,
I would like to ask you for hints to proof this:

\int^4 pi \omega \omega \,d\omega =%fraction{4}{3} \pi

where omega is vector.

Do you have any hints for me? (Not seeing for solution, just hints).

 

[fresh_42]

Please use our LaTeX code library to note formulas (https://www.physicsforums.com/help/latexhelp/)
This is what I got from your code line, but I'm by no means sure that it is what you meant: $\int^4_\pi \omega \omega \,d\omega =\frac{4}{3} \pi\,.$ Also some explanations would be helpful. You originally posted it in a physics section, so what is physical here?