Question

I want the camera to be for example 10 units away from an object, but not behind it.
But not like this, because the camera always will be behind the object:

cameraPosition = objectPosition + object.Backwards * 10;

Answer 1

Often it looks better for it to be located up a little also, for example:

cameraPosition = objectPosition +
                 object.Backward * 10 +
                 object.Up * 5;

cameraTarget = objectPosition +
               object.Up * 3;

This places the camera behind and above the object. And has it kind of looking past the object which is good for a camera following a car.

The sky is the limit on adjustments here, you can even use input to modify it some.