I'm trying to see if I understand the concept of colinearity. Is the following defition correct?
Two vectors are colinear if and only if they both form segments of the same ray.
Or can two vectors be colinear if they are parallel, because vectors don't really have a "position"?
Thanks for the help!
Consider the points 2,4),~C1,2),~\&~D2,3)" alt="A;(1,3),~B2,4),~C1,2),~\&~D2,3)" />
If one plots those four point it is transparently clear that those four points are not collinear.
Under any common understanding of the language, donít you think that a vector ought to be collinear with itself?
Do those two vectors form segments of the same ray?
NO! This is just a problematic question. The author may not fully understand the mathematical status of vectors
A vector is an equivalence class of object having the same direction and same length.
Thus two non zero vectors are collinear if and only if they are multiples of each other.