Final answer:
The most famous duel in American history in 1804 was between Aaron Burr and Alexander Hamilton. Burr, who had lost his bid for governor of New York, blamed Hamilton for his defeat and shot him in a duel.
Step-by-step explanation:
The most famous duel in American history in 1804 was between Aaron Burr, Jefferson's first vice president, and Alexander Hamilton. Burr, who had lost his bid for governor of New York, blamed Hamilton for his defeat and challenged him to a duel. On July 11, 1804, they met in Weehawken, New Jersey, where Burr shot and mortally wounded Hamilton.