Yes. VistaDB will record an activation for your license on each computer it's installed. This doesn't apply to the redistributable (runtime) components. Activation is designed to assist you in tracking your compliance with the terms of the license you purchase. You can deactivate computers online at this web site, and see up to the minute information on what activations are recorded.
Although there are limits on the number of activations based on the type of license and quantity that you purchase, our intention is to allow licensed users to activate VistaDB on each computer for which they (or another member of their team) are the primary user. If you believe you have a legitimate reason to need more simultaneous activations than your license allows, please contact our support to discuss your situation.