The double-double was the 25th of Scott's career and moves him into a tie for fifth place on Virginia's career double-doubles list.
The Cavaliers never trailed in the game and the win improves Virginia's record to 3-1 on the season. Drexel is now 1-2.
The 35 points are the fewest allowed by a Tony Bennett coached Virginia team and the fewest the Cavaliers have allowed since defeating UMBC 57-34 on Dec. 21, 1996.
Sophomore guard Joe Harris added 12 points for the Cavaliers and senior guard Sammy Zeglinski scored eight points.
Virginia plays its final game in the U.S. Virgin Islands Paradise Jam on Monday (Nov. 21) at 3:30 p.m. Eastern time against Drake.