I have a similar problem but the blower stays on after the car is even turned off and drains the battery (obviously!!!)
I have disconnected the wiring plug as I could not turn it off by taking out all the fuses I thought would turn it off.
What do I need to replace?

 

If you Google the problem you are having you will have plenty of answers. Once you've read up on a couple of the threads feel free to come back and ask questions on anything you don't fully understand.

 

The resistor is bad