2. Show that if Z1, Z2 and 23 are three complexes such that Z1 + Z2 + z3 = 0 and |z1|=|z2| = |z3|= 1 then these points are the vertices of an equilateral triangle in the complex plane.
2. Show that if Z1, Z2 and 23 are three complexes such that Z1 + Z2 + z3 = 0 and |z1|=|z2| = |z3|= 1 then these points are the vertices of an equilateral triangle in the complex plane.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.3: The Complex Plane
Problem 6ECP
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