Odom, with four 3-pointers, and McClellan, with a pair of treys, were perfect from beyond the arc as VU (8-4) warmed up for its Southeastern Conference opener next week.
McClellan only missed one shot on his way to 12 first-half points. The Commodores shot 76.0 percent from the field the first half and 83.3 from 3-point range (5 of 6) to lead 46-18 at intermission.
Kyle Fuller didn't miss at all to finish with 11 points, and Jones also had six blocks for Vanderbilt.
Reggie Spencer led the Huskies (3-11) with 15 points.
Odom's 3-pointer that extended the lead to 44-17 pushed the percentage to 78.3, one game after the Commodores had their poorest shooting performance in Monday's loss to Saint Louis.
Referees even waived off Jones' turn-around desperation shot that banked in at the buzzer, after he initially bobbled the pass.
The Commodores made 17 of their first 22 shots for a 77.3 field-goal percentage. At one point, VU hit nine straight field goals -- going 8 1/2 minutes without a miss.
McClellan scored eight straight points for Vanderbilt -- including two 3-pointers, the first after his steal -for an early 10-4 lead. He had 12 points in the first 8 minutes, plus his second steal led to Kyle Fuller's fast-break layup and an 18-8 advantage.
Fuller stretched it to 31-15 on an over-the-shoulder reverse after dropping the ball as the shot clock expired.
Jones scored eight straight points, including a dunk, as Vanderbilt stretched it to 39-15, and Odom's jumper made it 41-15 to cap a 20-2 run.
The Huskies, meanwhile, missed nine straight field goals between Reggie Spencer's jumper at 10:07 to pull within 21-13 and his layup 2:34 before halftime at 41-17.
Northeastern had defeated Georgetown earlier, and seven of its 10 previous losses had been by five points or less.