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Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, — (V3, 2), В, — (0, 1). %3D %3D i) Show that A1, A2, A3 are in general position. ii) Show that |B;B| = |A¡ A;| for all i, j = 1,2,3 with i # j. %3D

Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, — (V3, 2), В, — (0, 1). %3D %3D i) Show that A1, A2, A3 are in general position. ii) Show that |B;B| = |A¡ A;| for all i, j = 1,2,3 with i # j. %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Qn 1. Consider the following six points in R2: A 3 (1,0), Аз — (3, 0), Аз 3D (2, V3), В, — (0, 3), В, — (V3, 2), Вз — (0, 1). i) Show that A1, A2, A3 are in general position. ii) Show that |B;B;| = |A; A;| for all i, j = 1,2, 3 with i + j. iii) Find the Cartesian equations of the unique isometry F of the Euclidean plane such that F(A;) = B; for all i. (Be sure to check your equations.).
Transcribed Image Text:Qn 1. Consider the following six points in R2: A 3 (1,0), Аз — (3, 0), Аз 3D (2, V3), В, — (0, 3), В, — (V3, 2), Вз — (0, 1). i) Show that A1, A2, A3 are in general position. ii) Show that |B;B;| = |A; A;| for all i, j = 1,2, 3 with i + j. iii) Find the Cartesian equations of the unique isometry F of the Euclidean plane such that F(A;) = B; for all i. (Be sure to check your equations.).
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