Final answer:
Without specific information on the velocities of objects A and C, it is impossible to determine whether the magnitude of the change in velocity vector of object A is greater than, less than, or equal to that of object C. The answer is, therefore, 'Cannot be determined'.
Step-by-step explanation:
To determine if the magnitude of the change in velocity vector of object A is greater than, less than, or equal to that of object C, we need specific information about the velocities of objects A and C. Without such information, it's not possible to make a definitive comparison between the magnitudes of their velocity changes. The principle of physics that applies here is kinematics, which describes the motion of objects without considering the forces that cause the motion.
In physics, velocity is a vector quantity, which means it has both magnitude and direction. A change in velocity can result from a change in speed (the scalar magnitude of velocity), a change in direction, or both. Since the problem statement does not provide any details on the initial and final velocities or directions of objects A and C, the answer to the question cannot be determined.
Therefore, the correct answer is d. Cannot be determined.