The crankshaft position sensor (CKP sensor) on a 2001 Pontiac Grand Prix (Intrigue is a trim level of the Grand Prix) is located on the
passenger side of the engine block, near the crankshaft pulley. It's usually a fairly accessible sensor, but you might need to remove some components (like the lower engine cover) to get a clear view.
To be certain: It's highly recommended you consult a repair manual specific to your 2001 Pontiac Grand Prix. A Haynes or Chilton manual will have diagrams and detailed instructions, including photos to show you the exact location. Using a wrong location could lead to further issues.