Final answer:
The owner's manual of a vehicle includes a section for documenting service history, which is key for maintenance, resale value, and warranty purposes.
Step-by-step explanation:
The manual that has an area to write service history in it is the owner's manual. This manual typically comes with a vehicle and includes not only operational information but also a section for recording maintenance and service history. Keeping this documentation up to date is important for vehicle upkeep, resale value, and maintaining the warranty.