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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 8ECP
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2. The points A, B, C and D represent the numbers
and 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
Transcribed Image Text:2. The points A, B, C and D represent the numbers and 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
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