properly labeled Argand diagram w, w, -w, -w, iw, i²w, i³w, i'w and z-2. b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.

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 72E
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a) Let w = 2+i and z = 351³ +3w³+w²+w-7. Draw, on a single
properly labeled Argand diagram
-w, -w, iw, i²w, i³w, itw and
iw and z-2.
w,
W,
b) Describe in words the geometric effect on a complex number
(i) on taking the complex conjugate,
(ii) on taking the additive inverse, and
(iii) on multiplying by i.
Transcribed Image Text:a) Let w = 2+i and z = 351³ +3w³+w²+w-7. Draw, on a single properly labeled Argand diagram -w, -w, iw, i²w, i³w, itw and iw and z-2. w, W, b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.
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