In skyrim vsync is forced on for some reason and I hate it.
Open up Documents > My Games > Skyrim. In there should be a .ini file called SkyrimPerfs
In there you can enable and disable just about anything. The command for vsync is:
iPresentInterval= (1/0) where 1 is enabled and 0 is disabled.
If you want to disable mouse smoothing/acceleration:
bMouseAcceleration= (1/0) - same deal as before.
Both of those options are in the config already, just change them to what you want.
EDIT: I believe you also need to copy that file once you've made the changes you want and paste it into the skyrim directory (overwrite the old one.) - it should be in The Elder Scrolls V Skyrim > Skyrim.
If you have enough FPS (100+ I believe) the screen tearing won't be an issue. If you can barely push over 60fps you'll get noticeable screen tearing.
And since Skyrim is STILL based on the notoriously buggy Gamebryo engine (though they said Skyrim is using the "Creation" engine which is the same thing), there are bugs. For one the physics system is still tied to FPS, so faster fps means faster ragdolls and things fall faster etc. If my suspicions are correct you should also still be able to fall from a great height, save just before you hit the ground, load the save, and land safely on the ground.