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## Homework Statement

Prove the Law of Sines using Vector Methods.

## Homework Equations

sin(A)/a = sin(B)/b = sin(C)/c

## The Attempt at a Solution

Since axb=sin(C), I decided to try getting the cross product and then trying to match it to the equation. I gave each of the points coordinates and I decided to come here for help when the problem became gigantic and hardly manageable. I've spent a couple of hours on this and I'm not getting anywhere.

If you've got any suggestions for a simpler solution or even just a nudge in the right direction, I'd be very grateful.