Final answer:
To find a vector with representation given by the directed line segment from point A to point B, subtract the coordinates of point A from the coordinates of point B.
Step-by-step explanation:
To find a vector with representation given by the directed line segment from point A to point B, we subtract the coordinates of point A from the coordinates of point B. This will give us the difference in the coordinates, which represents the direction and magnitude of the vector. Given point A(3, 0, -4) and point B(3, 1, 3), we subtract the x-coordinates, y-coordinates, and z-coordinates separately to find the components of the vector. Vector a = (3-3, 1-0, 3-(-4)) = (0, 1, 7).