Help! Resistor on fan switch

[Sav'h Steve]

I am adding a 2 speed switch to my overhead vent fans that were originally single speed.

I bought SPDT - On-Off-On 35 amp chrome toggle switches that are for 12 volt DC from an auto supply store.

Pahaska recommended using a 10 ohm 10 watt resistor to slow the fan speed down. I connected the 12 volt leads to the center and to one end of the On switch. Sure enough the fan works on that side. For the other side of the switch I connected one end of the 10 ohm resistor and connected the other end to the other side On for the current to go thru the resistor (which it does as it gets warm) to the first side On.

IOW one on is full 12 volts and the other On is going thru the resistor to reduce the volts to the fan.

The result is that fan works normally on first side and not at all on the other side. I reversed sides to make sure both worked fine and they do.

The volt potential on the first side is 13.9 and 11.7 on the 2nd side thru the resistor which gets hot after 30 seconds. TT is plugged in to house current.

I exchanged wires around and got the same results.

TIA Steve
trying to get a slower fan speed.....