Oladipo grabbed six rebounds and dished off four assists. Vucevic pulled down 12 rebounds.
Andrew Nicholson came off the bench to score 17 points and collect 10 rebounds for the Magic, who moved to 2-2 on the season. Arron Afflalo (16 points, eight assists, six rebounds) and Jameer Nelson (11 points) also reached double figures in scoring.
The Nets were led by Brook Lopez, who put in 21 points and blocked five shots.
Paul Pierce added 16 points.
New Brooklyn Coach Jason Kidd made his debut after being suspended for the Nets' first two games for an off-season drunken driving citation.