2006 rear windshield wiper just stop working any ideas?

check if there's a fuse that may have burnt. If no fuse, then just replace the motor. Parts are plentiful and pretty sure dirt cheap

 

Wiper failure has two possibilities, electrical and mechanical. Mechanical failure is unlikely, but possible. In certain situations involving high corrosion, the wiper shaft can seize inside the bushing. In NC, it's only the remotest possibility.

Electrical troubleshooting is fairly simple. As JC91006 pointed out, the fuse is both the simplest thing to check and a very likely possibility. Remove the fuse and test for continuity. If the test fails, replace the fuse. If the new fuse fails immediately, the cause is either mechanical failure (see above) or a short circuit in the wiring.

An electrical circuit such as this is fairly simple. Current passes from the source (battery, in this case), through the fuse, then the switch, then the wiper motor itself. For further troubleshooting steps, please see the Service Manual.

 

I'll add to our co-members comments above.
If you can remove the interior trim, inspect the electrical connector to the washer.
Consistent opening and closing the lid may have loosened the connector.
Let us know know you find.

 

Wait, why are you talking about the washer working?? What does that have to do with the wiper??

The fuse for the rear wiper is in position #4 in the passenger compartment fuse panel. The passenger compartment fuse panel, as the name implies, is located in the passenger compartment of the vehicle. To be more specific, it is located beneath the dashboard, approximately directly above where the driver's left foot would be while driving.

It is a 15 amp fuse, blue in color.

So yes, someone has a clue which fuse is for the rear wiper circuit.

I'm curious, did your car not come with an owners' manual? If not, you should get one.