Final answer:
In VPython, the code to create a ball five units away from the user from the center is 'ballPosition = vector(0, 0, -5)'. This places the ball directly away from the user along the z-axis in a standard right-handed coordinate system.
Step-by-step explanation:
To create a ball five units away from the user from the center in VPython, the line of code that defines the ball's position should specify its coordinates in 3D space relative to the center (where the user is assumed to be located). The vector function in VPython creates a vector that can be used to position objects in the scene. Given the options presented, vector(0, 0, -5) will place the ball five units away from the user on the z-axis, which typically goes into the screen, away from the user's viewpoint in a standard right-handed coordinate system. Therefore, the correct line of code for the ballPosition would be:
ballPosition = vector(0, 0, -5)
The other vector options vector(0, -5, 0) and vector(-5, 0, 0) would place the ball five units away on the y-axis and x-axis, respectively, which are not directly away from the user's viewpoint. Hence, they do not satisfy the condition specified in the question.