2001 Corolla NO AC/No blower-bad relay?

Hi all,
2001 Corolla....

have no a/c at the present. also, the fan that would blow the AC (or heat) into the cabin does not work. both ceased to at the same time.

I can tell you that the light on the AC button stopped lighting at the same time.

it seems all fuses are ok. I suspect a bad relay, but I don't know which one it could be, or how to test a relay.

i'd appreciate any information that could help me solve this problem, especially because it's temporarily my only vehicle.