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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2. Show that if Z1, Z2 and Z3 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e64be3-c4a1-45fd-a5e6-8fcac7fe7d99%2F6e2cd6fa-9592-4856-8a1c-733f8f657ddd%2Fcxmwlqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT
2. Show that if Z1, Z2 and Z3 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.
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