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3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1 + z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1 +z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2)

3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1 + z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1 +z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 15E
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If number 3.3 disprove please give one example

3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1 +z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1 +z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2)
Transcribed Image Text:3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1 +z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1 +z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2)
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