Question about re-installation of CS2

Currently, Adobe CS2 are installed on two XP computers (a- and b- computers). I want to install it onto the new Vista computer.
What I want to do is to deactivate CS2 on one XP computer (i.e., a-computer), and then install CS2 on the Vista computer and then activate CS2. I don't see any problem for doing that.

I wonder if deactivation of CS2 on a-computer would also deactivate CS2 on b-computer. I need your opinion on this question. James

The only problem...and it likely won't be...is that CS2 is not supported under Vista. But deactivation on one machine has no affect on others.

Bob