I thought that the W was for scalability among other things.

The components are not restricted to any number of dimensions. Right now, I am dealing with the strict mathematical behavior of these components.

Sorry, I forgot to say this. A vector could be defined in two ways. (1) A vector is a point that has magnitude and direction. (2) A vector is a 1 x n matrix. Therefore, all of the operations that a Point could do, a Vector could do, but all the operations that a Vector could do, a Point cannot do.