Final answer:
Sir Lancelot went on the quest to fulfill his sense of adventure and seek personal glory by demonstrating his bravery and skill as a knight.
Step-by-step explanation:
Sir Lancelot went on the quest for more than one reason. While many of the knights, including Sir Kay, believed that he went to prove himself and silence their complaints, the actual reason was different. The real reason Sir Lancelot embarked on the quest was to fulfill his sense of adventure and to seek personal glory. He wanted to demonstrate his bravery and skill as a knight and was driven by his desire to achieve greatness and gain recognition.