Vectors Higher than 3 Dimensions

Has anyone devised a method for managing vectors of higher dimensions?

I'm not planning on working with any 4-D surfaces at this time, but importing and managing collections of data in vector form is so convenient.

Right now, I pretty much just want the functionality of the Decompose Component, but for as many linearly independent values as needed. Kind of like this:

I imagine there's a simple way to reformat each vector and put each set of values in their own branch of a data set; but I don't know how to do that efficiently. Any ideas?