BuddhaBing,
I used to read about what happens in these cases, but I can't recall it right now (I don't have that book on me either), so I probably won't answer your question directly.
However, what I can offer (I think) some insight on, is the kinematics in general. So here goes...
When you calculate the instant/instantaneous centre of rotation (ICR), what you do is the following. Suppose you have a rigid body (here, wheel/rim) with two links attached to it (UCA & LCA, say at points U and L, respectively), both having some kind of angular velocity. The IRC would then be the intersection of the lines, perpendicular to the linear velocity vectors of the rigid body at points U and L. Which is what you have in your first two cases, essentially.
In the third case, since such lines would be parallel to one another, as you've promptly noticed, no IRC can be defined. What this means, is that the wheel can't rotate about the axis coming out of the page. In essence, its camber will stay fixed. Another way to think of it is a rectangular sign suspended from above by two equal length, parallel cables. It can swing sideways, but its centreline will remain horizontal...i.e. it won't tilt.
Same thing happens here - the wheel (in theory) can move up and down, but its upper and lower ends can't go left and right (as viewed from the front of the car).
Of course, this doesn't mean that the car's body won't roll, as it's attached to the wheels by means of compressible springs.
As a guess, I would say that the RC is in the middle of the track, halfway up between the LCA and UCA. At least, common sense would suggest so.
At the same time, if the above hypothesis is correct, it is another reason why equal length, parallel control arms are not very popular - high RC.
Hope the above was halfway cohesive.
Cheers,