The position is not a vector, only the change in position
How can the change in something that is *not* a vector magically
*become* a vector? Isn't "change in position" is just a shorthand
for "change in the position vector", i.e., r2_vec - r1_vec?
Perhaps we need to more carefully distinguish between
"location" = "a point in space"
and
"position" = "a vector locating a point in space relative to some
other arbitrary, clearly identified, and "fixed" (whatever that
means!) point in space."