Let A: (1,2), B : (1, 1), and C : (2,1) be the vertices of triangle AABC in R². Find the coordinates of points A", B", and C" in R² such that AA"B"C" is the image of AABC under the composition of dilations HQ,3 ° Hp,-2, where P : (0,0) and Q : (−4, −4).

Let A: (1,2), B : (1, 1), and C : (2,1) be the vertices of triangle AABC in R². Find the coordinates of points A", B", and C" in R² such that AA"B"C" is the image of AABC under the composition of dilations HQ,3 ° Hp,-2, where P : (0,0) and Q : (−4, −4).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 81E

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Question

Let A: (1,2), B : (1, 1), and C : (2,1) be the vertices of triangle AABC in R². Find the coordinates
of points A", B", and C" in R² such that AA"B"C" is the image of AABC under the composition of
dilations HQ,3 ° Hp,-2, where P : (0,0) and Q : (−4, −4).

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