#1
1. http://www.youtube.com/watch?v=IXp4_OiAH-o
The guitar has some sort of sweeping effect. I really have no clue it is though, as I still get phasers and flangers mixed up.

2. http://www.last.fm/music/Steve+Vai/_/Deepness
Couldn't find it on youtube, but previewing the track here will give you the idea. I guess it has a similar effect, but much faster (I assume).
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#2
They both sound like phasers. The distorted tone in the first one enhances the "swooshiness" of it. I'm guessing it's a Phase 90.

The second one could be a univibe clone. I think Steve Vai uses some Eventide processors for effects, and that could be one of them.
#3
first one is a phaser with some wah on it, would sound better with some auto pan on it aswell!