https://en.m.wikipedia.org/wiki/Hermann_Grassmann would like to have a word with you. https://en.m.wikipedia.org/wiki/Giuseppe_Peano was so impressed he wrote a book to explain it. It is much easier to just read and try to understand what smarter people than us spent their precious time on earth figuring out. Newton was on to something about standing on shoulders of giants.An option available to anyone.