Final answer:
To find vector A, subtract the coordinates of point A from point B.
Step-by-step explanation:
To find a vector A with representation given by the directed line segment AB, you can use the coordinates of points A and B. The x-coordinate represents the horizontal displacement, while the y-coordinate represents the vertical displacement. Subtract the x-coordinate of point A from the x-coordinate of point B to find the horizontal component of vector A. Similarly, subtract the y-coordinate of point A from the y-coordinate of point B to find the vertical component of vector A.
Using the given coordinates: A(-3, 3) and B(4, 2)
The horizontal component of vector A = 4 - (-3) = 7
The vertical component of vector A = 2 - 3 = -1
Therefore, the vector A with the representation given by the directed line segment AB is A(7, -1).