“A position vector is drawn from the origin to a point.”
Errorer… Errorer… Errorer!
Did we not tell you that a vector could not be tied to a coordinate system?!
That vector (4,3) can start at any (x,y) it wants and then it will go to (x+4 , y+3).
A position vector is a point waiting for an origin and the traits of the vector formed with that point hooks up with an origin will depend on the coordinate system of the origin.
Different coordinate systems will come along and we’ll get vectors with different lengths and different directions.
The problem with direction comes about because all a coordinate system has to do is put its (4,3) location on the point calling itself (4,3).
All of this makes mockery of the good sense that comes about when we say a vector has to be something with an initial point and a final point.
Vectoreverything 