Final answer:
No, we cannot conclude that the external electric field is zero based on the given information. The electric field is independent of the magnetic field, and both can exist simultaneously.
Step-by-step explanation:
No, we cannot conclude that the external electric field is zero based on the given information. While it is true that the particle's velocity remains constant and the external magnetic field is zero, these facts do not directly imply that the external electric field is also zero. The electric field is independent of the magnetic field, and both can exist simultaneously. Therefore, to determine the presence or absence of the external electric field, we would need additional information.