veer [intransitive always + adverb/preposition]
to change direction
A tanker driver died when his lorry veered off the motorway.
The plane veered off course.
Follow the path and veer left after 400m.
The wind was veering north.
if opinions, ideas, attitudes etc veer in a particular direction, they gradually change and become quite different:
This latest proposal appears to veer in the direction of Democratic ideals.
The conversation veered back to politics.