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MODULUS of a Complex Number EXPLAINED Geometrically with PYTHAGOREAN Theorem

YouTubeBill Kinney

MODULUS of a Complex Number EXPLAINED Geometrically with PYTHAGOREAN Theorem

The modulus of a complex number 𝑧, written ∣𝑧∣, is also called its absolute value. If z = x + iy ∈ ℂ, we define it as |z| = sqrt(x^2+y^2). Geometrically, this represents: The distance from 𝑧 to the origin in the complex plane and the magnitude (length) of 𝑧 as a vector. In this video, we use the Pythagorean theorem to see ...

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