Final answer:
The vector joining the points A(2,3) and B(-1, -2) and directed from A to B is <-3, -5>.
Step-by-step explanation:
To determine the vector joining the points A(2,3) and B(-1, -2) directed from A to B, you subtract the coordinates of point A from the coordinates of point B. This is often represented by the vector equation BA = B - A.
In this case, B(-1, -2) and A(2,3), so:
BA = (-1 - 2, -2 - 3) = (-3, -5).
Therefore, the vector directed from A to B is BA = <-3, -5>.