Final answer:
The War Hawks pushed for the invasion of British-held Canada to turn Indians against the British, to cut off the Indian supply of arms, and to gain strategic territories like Detroit.
Step-by-step explanation:
The War Hawks were a group of young and enthusiastic congressmen who pushed for the invasion of British-held Canada during the period leading up to and during the War of 1812. Their reasons for advocating for this course of action were varied, but some of the primary purposes included the desire to turn the Indians against the British, to deprive the Indians of their main source of arms, and to gain strategic advantages such as the control of Detroit. The War Hawks believed that by invading Canada, they could weaken the British influence in the region, reduce the level of support the British were giving to Native American tribes against American expansion, and possibly even encourage Canadians to join the American cause.
During this time, the British had been supplying arms to Native fighters, which was one of the provocations for the War Hawks' call to action. With the end of the Napoleonic Wars, Britain had more resources to avenge the American actions in Canada, making the actions of figures like Brigadier General William Hull and plans to capture key locations like Quebec all the more significant in the larger context of the war.