Unlocking Complex Numbers with Geometry: 2023 AMC12A Problem Solved!

[@dR-bAbAk]

Thanks for the nice video. I believe providing an explanation for why maximizing the modulus of \hat{u}^2 leads to maximizing the imaginary part of \hat{u} would enhance the audience's understanding of the final part of the solution. This is particularly important as it aligns with your earlier point about the equality between the imaginary part of \hat{u} and the imaginary part of z.