to swerve away from someone or something; to turn aside to avoid someone or something. The plane veered away from the mountain.The car veered from the children who were in its path.
veer off (from someone or something)
to turn or steer sharply away from someone or something. The bird veered off from the cluster of trees.The bird veered off and missed hitting the post.
To turn aside suddenly and leave some course, direction, or purpose: The tire blew out, and the car veered off the road. The road veers off to the right, so stay alert. The teacher veered off the topic and left the students bewildered.