20. In the diagram on the right, the points P and Q represent the complex numbers z and w respectively. (a) Explain why |z − w|≤|z|+|w|. (b) Indicate on the diagram the point R representing z+w. (c) What type of quadrilateral is OPRQ? (d) If |z − w| = |z+w], what can be said about the complex W number X
20. In the diagram on the right, the points P and Q represent the complex numbers z and w respectively. (a) Explain why |z − w|≤|z|+|w|. (b) Indicate on the diagram the point R representing z+w. (c) What type of quadrilateral is OPRQ? (d) If |z − w| = |z+w], what can be said about the complex W number X
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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![20. In the diagram on the right, the points P and Q represent the
complex numbers z and w respectively.
(a) Explain why |z − w|≤|z|+|w|.
(b) Indicate on the diagram the point R representing z+w.
(c) What type of quadrilateral is OPRQ?
(d) If |zw| = |z+w], what can be said about the complex
number?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a48d235-2444-4c8d-bee8-69e4e7452968%2Fabab3dcc-cfe7-43a3-bb8e-6d462996db7f%2Ftrbmj2o_processed.png&w=3840&q=75)
Transcribed Image Text:20. In the diagram on the right, the points P and Q represent the
complex numbers z and w respectively.
(a) Explain why |z − w|≤|z|+|w|.
(b) Indicate on the diagram the point R representing z+w.
(c) What type of quadrilateral is OPRQ?
(d) If |zw| = |z+w], what can be said about the complex
number?
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