Hi, I'm very ashamed about getting a fully understanding of these vector product concepts. But i did a lot of search and get an idea about them. I read Feynman's lecture on physics and almost completely understand the mathematics behind their properties. In that book feynman proves that cross product operation produces some new numbers that behaves just like vectors and scalar product produces a number that is independent of coordinate system of our choice, before i read this book i thought that, we define that cross product produces vectors and dot product produces scalars, but as i understand we only define some relation about components of vectors and according to this operations the results came out as vectors or scalars. Everything is fine, but in historical view, when i put myself to those scientists who found this vector analysis:), this idea of finding cross or dot product seems very unnatural and difficult to me, of course maybe i have 10 percent of their iq:), but i don't know i'm just confused, and i don't get vector or cross product like i get f=ma. May be you can advise me some books that explains these concept not mathemtically but intuitively.