1. To turn or swerve very suddenly away from someone or something, especially so as to avoid hitting them or it. I managed to regain control of the vehicle and veer away from the crowd of people at the last second. The car veered away from the ditch at the side of the road, but ended up smashing into another car as a result.

2. To change course or avoid some possibility very suddenly or abruptly. Following public outcry, many companies have begun veering away from this sort of business model.