I would personally suggest using a mini displayport to vga adapter
some people say you lose video quality but with my 1280x1024 monitors I don't really notice or care.
i've had a lot of problems with DVI adapters, active or otherwise..
EDIT: Also there is no "active" or "passive" VGA/displayport adapters.
since vga is analog and displayport is digital signals, there is already an active conversion happening.
As far as your monitors go I'm not the expert on that, I just know that I tried using a DVI adapter and after exchanging two different ones I continued to have the same problem, which was this:
every time i had all three monitors plugged in windows would make the "connect" and "disconnect" sounds over and over, and it would be just like i was plugging in and unplugging the displayport/dvi monitor. not sure exactly what the problem was but the vga adapter solved it for me, was also 5 bucks cheaper.
as for the adapter itself, there are so many out there but any VGA one will work.
DVI i'm still not sure about