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Complex Number

Source: 2002 National High School Mathematics League, Exam One, Problem 7

March 13, 2020
complex numbersvector

Problem Statement

Complex numbers ∣z1∣=2,∣z2∣=3|z_1|=2,|z_2|=3, and the intersection angle between the vectors corresponding to z1,z2z_1,z_2 is 60∘60^{\circ}, then ∣z1+z2∣∣z1−z2∣=\frac{|z_1+z_2|}{|z_1-z_2|}=________.
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