Hi guys

I know it suppose to be hot during engine on but do they also hot during enggine off?

Morning engine checking and accidently touch it and found out very hot. Ignition key off and engine not start yet. Before this it cold during morning.

Not sure what the cause but it's something to do with resistor faulty? Any method to check if this resistor faulty and what is the common sympton?

Any comments are appreciated. Thanks