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. Let 21 2i and z2 = 1+v3i. (a) Express zi and z2 in mod-arg form. (b) Plot in the complex plane the points P, Q, R and S representing z1, 22, 21 + %2 and 21 22 respectively. (c) Find the exact values of: (i) arg(z1 + z2) (ii) arg(z1 – z2)

. Let 21 2i and z2 = 1+v3i. (a) Express zi and z2 in mod-arg form. (b) Plot in the complex plane the points P, Q, R and S representing z1, 22, 21 + %2 and 21 22 respectively. (c) Find the exact values of: (i) arg(z1 + z2) (ii) arg(z1 – z2)

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 = 2i and z2 = 1+ V3 i. . Let (a) Express zi and z2 in mod-arg form. (b) Plot in the complex plane the points P, Q, R and S representing z1, ž2, ž1 + z2 and %1 – 22 respectively. (c) Find the exact values of: (i) arg(21 + z2) (ii) arg(21 –- 22)
Transcribed Image Text:Let z1 = 2i and z2 = 1+ V3 i. . Let (a) Express zi and z2 in mod-arg form. (b) Plot in the complex plane the points P, Q, R and S representing z1, ž2, ž1 + z2 and %1 – 22 respectively. (c) Find the exact values of: (i) arg(21 + z2) (ii) arg(21 –- 22)
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