The way I understand your question is you have a series of vectors in 3 dimensions and you want to perform some sort of operation (translate by scalar 1 etc.) and then add a new column having that transformed vector and repeat.
If you have access to a full version, you could use programming features and can combine a “for” loop and augment (mentioned by IRstuff). See attached a snapshot from Maxwell’s Essential Guide to Mathcad Prime 3.0. Instead of x.(a+i), you write augment(a,a[rows(a)] + i) where Square bracketed is subscript index. Each augment adds an additional column. If your i value is a sequence of transformations, then the vectors will stack start to finish.