There is really no method to "check" the resistor, text by substitution.
Check the resistance on the blower motor.
Check the fuse. Check the blower speed resistor. Check the blower speed control switch.
Check to see if you are getting power to blower motor - if so replace blower motor If not check fuse, switch, resistor pack.
Recommend you check the blower motor resistor.
If it's a fan speed issue check the blower motor resistor & the blower motor. Check the plugs at the resistor and blower motor for burn marks also.
The Blower Motor Resistor Pack is defective. Replace it. It is located on the passenger side by the blower motor. Very easy fix, 1 clip and 2 screws. Check RockAuto.com AIRTEX Part # 4P1402 for price and a great picture so you know what you are looking for.
Check to see if you have 12 volts at the blower motor. If yes then the blower motor is bad. If no, then the resistor, relay, or fuse is bad.
To test the blower motor resistor, unplug the resistor connector. Each blower motor switch input terminal on the resistor must have continuity to the resistor output terminal, which is connected to the circuit going to the blower motor. If the blower motor resistor continuity does not check OK, replace the faulty resistor.You need a multimeter to test the resistor block and there should be continuity between all terminals.
Since you're checking the resistor, I would assume you checked the fuse/relay for the blower motor. If not check that. If you have then there would be an open wire between the relay and the resistor.
Check the control module, the resistor, etc......
First, check for the recall on the blower resistor at recalls.gov or something like that. Second, check the fuse box located below the steering wheel.
where is resistor pack on 2010 impala lt 6 cylinder 3.5 motor