1. To turn or swerve off of some path, trajectory, or direction very sharply or abruptly. The car suddenly veered off the road and crashed into a tree. I veered off of the race course because I thought I knew of a shortcut.

2. To diverge or deviate suddenly from some established plan, idea, topic, or purpose. I'm having a tough time keeping the team focused and not allowing the project to veer off course. The debate veered off into an argument about the senators' personal lives.