Does this vacuum motor use DC or AC power?
It's a brushless DC motor and you need a brushless drive for it.  You can't power it by DC alone, it needs an electronic drive circuit.  

From the seller:


  Features:
  Imported two-turbine blade brushless fan motor, dose not have driven maschine, need to operate by brushless drive. It has 24V brushless 6000Pa electric test suction, and the actual fan is tested with brushless electric test 12V current 1.3A speed 18000 rpm, 24V voltage test current 3.2A speed 31000 rpm. 


Example of BLDC (brushless)

Schematic from Electro-Tech-Online.com

(From here, page 16.)