Nik Cochran and Jake Cohen added 14 points each for Davidson (2-2).
Kedren Johnson had a career-high 28 points for Vanderbilt (1-2). The Commodores, coming off a 78-48 loss to Oregon, also got 14 points from Kyle Fuller.
Baskets by Brooks and Chris Czerapowicz put Davidson ahead 57-52. The Wildcats, keyed by Clint Mann's dunk and a 3 by Cochran, scored the next nine points and increased their lead to 66-52 with 6 minutes remaining.
Davidson will play West Virginia in a winner's bracket game Friday. Vanderbilt will play Marist, which lost 87-44 to West Virginia.
Johnson had a three-point play and hit a 3-pointer helping Vanderbilt get within 35-33 early in the second half. His three-point play gave the Commodores a 49-48 advantage with 12 minutes to go.
Cochran and Cohen had nine points each as Davidson took a 33-25 halftime lead.
Jordan Barham had a fast-break slam and a pair of layups to put Davidson up 31-25 with 51 seconds left in the half. Cohen made it 33-25 with a rebound basketball just before the buzzer.
Barham wound up with nine points.
Cochran's third 3-pointer got Davidson, which trailed by six early on, to 16-14. The senior guard entered averaging 3.3 points this season.
Johnson's previous career best was 25 points against Nicholls State on Nov. 10.
Vanderbilt will play Marist on Friday at 2 p.m. ET on ESPNU.
Vandy falls to Davidson in Old Spice, 75-62
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