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Let z₁ = 5+2i, Z₂=1+3i, z3=2-3i, Z4--4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand diagram and label them. (b) Plot the complex numbers z₁+z₂ and Z₁-Z₂ on the same Argand diagram. Geometrically, how do the positions of the numbers z₁+z₂ and Z₁-Z₂ relate to z₁ and 2₂?

Let z₁ = 5+2i, Z₂=1+3i, z3=2-3i, Z4--4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand diagram and label them. (b) Plot the complex numbers z₁+z₂ and Z₁-Z₂ on the same Argand diagram. Geometrically, how do the positions of the numbers z₁+z₂ and Z₁-Z₂ relate to z₁ and 2₂?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let z₁ = 5+2i, 2₂=1+3i, z3=2-3i, z₁=-4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand diagram and label them. (b) Plot the complex numbers z₁+z₂ and Z₁-Z₂ on the same Argand diagram. Geometrically, how do the positions of the numbers z₁+z₂ and Z₁-Z₂ relate to z₁ and z₂?
Transcribed Image Text:Let z₁ = 5+2i, 2₂=1+3i, z3=2-3i, z₁=-4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand diagram and label them. (b) Plot the complex numbers z₁+z₂ and Z₁-Z₂ on the same Argand diagram. Geometrically, how do the positions of the numbers z₁+z₂ and Z₁-Z₂ relate to z₁ and z₂?
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