Java abstract Number operator +=

I would like to create an abstract Vector3 class. So what I did was:

class Vector3<T extends Number> {}

And I have the 3 components:

T x, y, z;

However this way I can't do operations like add them togethet, java saies that operator += is undefined for the type. But as far as I know the number classes are all inherited from the abstract Number class. Is there a way to do something like this, or do I have to create Vector3f, i, d, and so on manually?