I am reading this excellent collection of articles on projective spaces, transformations etc.
I came across this sentence:
Note that in projective space points (meaning location) and translations are represented by different types (unlike vector algebra) this is reasonable as they are different entities.
I’m not able to understand what exactly that meant.
PS: In projective space, using homogenous coordinates, we get
(x, y, z, w) = point if w != 0
and (x, y, z, w) = vector if w = 0, for a 4D projective space.
Am i right?
So, what exactly does the author try to explain here?
Thanks in advance!