Why i^2=−1 — Visualizing Complex Numbers as Rotation on the Complex Plane
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Why i^2=−1 — Visualizing Complex Numbers as Rotation on the Complex Plane
This video explains why i^2=−1 using a clear geometric interpretation of complex numbers. By visualizing multiplication as rotation, we show how multiplying by i corresponds to a 90° counterclockwise rotation. This provides an intuitive and mathematical understanding of complex numbers as transformations, not just abstract symbols. Perfect ...
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