Hi @bencolly ,
It may be more of a case of what circuit the 3 x 1.1K Ohm resistors are feeding rather than the resistors themselves. I think that the colour bands on the resistors are brown, brown, red, silver = 1100 Ohms 10% tolerance i.e. -/+ 110 Ohms but my eyes aren’t that good anymore. Size wise they appear to have a 1W (watt) power rating.
They certainly look like they got hot but maybe they're not faulty.
You would need to unsolder and remove one side of the resistor from the board and then measure its' resistance to find out. Do this for each one.
It could be the speed selector switch or the motor perhaps (windings?) that is the problem, causing excess current to flow through them making them hot.