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(a) Example 1: Graph z₁ = 1+i and 22 = 2-i on the complex plane as well as 2₁ +22, 2122, and z¹. Verify that Z₁ + Z2 represents vector addition in R². (b) Example 2: Pick a point z on the unit circle in the first quadrant of the be? Use the discussion in this example to complex plane C. Where should 1 Z interpret for values z inside and outside the unit circle. Z

(a) Example 1: Graph z₁ = 1+i and 22 = 2-i on the complex plane as well as 2₁ +22, 2122, and z¹. Verify that Z₁ + Z2 represents vector addition in R². (b) Example 2: Pick a point z on the unit circle in the first quadrant of the be? Use the discussion in this example to complex plane C. Where should 1 Z interpret for values z inside and outside the unit circle. Z

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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(a) Example 1: Graph z₁ = 1+ i and %2 = 2-i on the complex plane as well as 2₁ +22, 2122, and z¹. Verify that Z₁ + Z2 represents vector addition in R². (b) Example 2: Pick a point z on the unit circle in the first quadrant of the 1 complex plane C. Where should be? Use the discussion in this example to Z 1 interpret for values z inside and outside the unit circle. Z
Transcribed Image Text:(a) Example 1: Graph z₁ = 1+ i and %2 = 2-i on the complex plane as well as 2₁ +22, 2122, and z¹. Verify that Z₁ + Z2 represents vector addition in R². (b) Example 2: Pick a point z on the unit circle in the first quadrant of the 1 complex plane C. Where should be? Use the discussion in this example to Z 1 interpret for values z inside and outside the unit circle. Z
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