Kentucky's signings come as guard Hamidou Diallo faces Wednesday's deadline on whether he'll stay in the NBA draft or return to school after not playing as a mid-year enrollee.
Knox, a 6-foot-9 All-American from Tampa, Florida, averaged 28.5 points and 11.3 rebounds per game last season after winning a gold medal with Team USA at the FIBA Under-17 World Championships. Vanderbilt, another 6-9 All-American, averaged 28.5 points, 13.4 rebounds and 8.8 assists per contest for Victory Prep Academy in Houston.
The 6-4 Baker, from Corona, California, is considered a combination guard and consensus four-star prospect. He averaged 17.1 points, 4.1 assists and 3.5 rebounds per game with 94 3-pointers last season.