2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S² form a quadrilateral in S?, then it is impossible to have ZA = ZB = ZC = ZD = /2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
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2. Prove that there are no rectangles in S². More precisely, prove that if
A, B, C, D E S² form a quadrilateral in S, then it is impossible to have
ZA = ZB = C = ZD = r/2.
Transcribed Image Text:2. Prove that there are no rectangles in S². More precisely, prove that if A, B, C, D E S² form a quadrilateral in S, then it is impossible to have ZA = ZB = C = ZD = r/2.
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