The starter is probably At Fault. Hit it with a hammer real good and if it starts it is the starter for sure. That won''t work but a few times.
Saturn didn't start making the VUE until 2002; are you certain you have a 2001 VUE?
If the vehicle has a security feature check the fuse under the hood. My 2001 SL1 had that problem. its like a 30 Amp fuse.
It may be old.
There is no external timing marks on 2001 Saturn.
were is crankshaft sensor located in 2001 Saturn l300
What is the torque spec for a 2001 Saturn head? It has only a single cam
The only refrigerant you can legally use in your 2001 Saturn would be the 134-A
Repair the problem and it will typically reset itself after 3 starting cycles.
i too had the same problem with my L300. after about a year of this problem i replaced the crankshaft position sensor...it was extremely easy to do myself. the car has not acted up since. hope this helps.
If you still have power after the click then the problem is probably a faulty starter solenoid or relay. If no power after the click, check the battery cables for good connection.
A weak Battery