Points
Using these facts, we can represent points.
Note:
(x,y,z) = x(1,0,0) + y(0,1,0) + z(0,0,1)
x = (x,y,z).(1,0,0)
y = (x,y,z).(0,1,0)
z = (x,y,z).(0,0,1)