Explain why this problem is in a number theory book? I feel like it should be in a Cal 3 book.
Prove that if (xₒ,yₒ) is a solution of the linear Diopahntine equation ax - by = 1, then the area of the triangle whose vertices are (0,0), (b,a) and (xₒ,yₒ) is 1/2?
This could easily be proven using cross product

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eh, probably because it mentions linear Diophantine equations?

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