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

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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?
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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