I'm looking at integrating a solid angle multiplied by the vector representing that solid angle over an entire sphere (4pi).(adsbygoogle = window.adsbygoogle || []).push({});

I've split the terms into [tex]sin(\theta)cos(\phi)i, sin(\theta)sin(\phi)j, cos(\theta)k[/tex], but I am still integrating phi over [0,2pi] and theta over [0,pi]. This doesn't seem right and yields a value of zero for each term. I'm unsure of how to change my bounds of integration here.

Or is....

[tex]\int{\overline{\Omega}d\overline{\Omega}}[/tex]

where [tex]\Omega=\{\theta,\phi\}[/tex]

....similar to a dot-product operation and therefore would equal zero?

Thanks!

edit: I just noticed this forum isn't for homework questions... I seem unable to move it myself, so if any admins see this please move it to the homework forum.

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# Help with Vector Analysis in spherical velocity-space coordinates

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