Why do you say
take a nose dive
make a U-turn
not "make a nose dive" or "take a U-turn"?
You "take" something that is already there.
When something does not exist, you make it.
So, if by "a turning" you are referring to a junction in the road, then you "take" that turn.
But a 'u-turn' is not something that is already there - it is a manouvre that you make.