First things first, check the bulbs...
Second, see if the headlight is dead on both high and low. If headlight doesn't come on at all, you know the return path is shot (Black/White wire).
Find the big plug (8 pin connector) and disconnect it. Check from the +12 VDC (Orange wire) and Battery Ground (Black/White wire). You should have 12 VDC (roughly) there. If you don't, then that means you have a broken wire somewhere between the fuse and that plug.
If you do have 12 VDC there, check the connections on the dimmer switch, looking for the black/orange wire. There will probably be 2 on there, you can do a resistance check between the Black/Orange wire in the horn connecter, to the dimmer switch and the plug. That is the other side of the Orange wire in the big plug.
Hah....I think you won't have to go this far, but just incase you do and need to go further, here is a page with the wiring diagrams:
http://suzukisavage.com/cgi-bin/YaBB.pl?num=1294779818Good luck!