Baker was 3 of 4 from 3-point range as Wichita State made 8 of 24 from distance.
Zach Brown added 10 points for Wichita State (7-5), which has won six straight Missouri Valley Conference openers.
Kale Abrahamson hit a 3-pointer for Drake to tie it at 25-all before Wichita State closed on an 8-0 run, with a Baker 3-pointer, for a 33-25 halftime lead. The Shockers started the second half on a 13-2 run, with balanced scoring from VanVleet, Brown and Anton Grady, as Drake only made one field goal in the first six minutes.
Abrahamson and Graham Woodward scored 12 points apiece for Drake (5-8). The Bulldogs were held to 16-of-43 shooting (37 percent), were outrebounded 38-28 and turned it over 18 times.