location of the aircondition cluch relay

if its like most modern cars the clutch pulley is directly controlled from the body control module.no relay required.

Relays are required, as the PCM grounds the compressor relay to send power to clutch. There most likely located underneath the hood somewhere.

Modern control units use transistors, a high output solid state resistor internal if the unit bypassing the need for external relays

The PCM itself has transistors that are used to ground the external relay....