Veteto scored on a layup to put Sacramento State (8-6, 3-3 Big Sky) ahead at 39-37 with 13:32 left in the game.
The score stayed close after that, and a bucket by Venky Jois put Eastern Washington (4-12, 2-4) ahead 53-52 with 2:23 left.
A pair of free throws by Veteto with 1:47 put Sacramento State in front to stay.
Colby College's Pat Dickert takes off from behind the free throw line and jams it home.
Villanova and Virginia haven't always won big on the recruiting trail, but their methods have paid off. See which other teams have overachieved.
After Syracuse's surprising trip to the Final Four, coach Jim Boeheim will have to hit the recruiting trail hard this summer to fill his roster.