Two servers using same name servers? [closed]

If they can both see the name servers in question (i.e., not on an internal network to one of them)...sure.

A large proportion of the internet uses the Google name servers 8.8.8.8 and 8.8.4.4 so yes.

Yes - this is how the internet works.

Indeed, name servers are hearty things that can handle one, two or even three concurrent connections at a time. I think you're safe in using one name server for both VPSs.

Certainly!

If each server needed a server of its own, you'd end up with a horrific sort of pyramid scheme where the servers at the bottom wouldn't have any servers to call upon.