2. The points A, B, C and D represent the numbersand O is the origin.Z1, Z2, Z3 and Z₁(a) If OABC is a parallelogram, and z₁ = 1+i,Z₂ = 4 +5i, find z3.(b) Find z₂ and z4 when ABCD is a square and(i) z₁ = 2+i, z3=6+7i(ii) z₁ = 6-2i, z3= 6i

Answered: The points A, B, C and D represent the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC is a parallelogram, and z₁ = 1+i, Z₂ = 4 + 5i, find z3.