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1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution?

1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution?

Elementary Geometry For College Students, 7e
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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1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution? S(0) hes LP + MQ + N R = 0. (3.5)
Transcribed Image Text:1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution? S(0) hes LP + MQ + N R = 0. (3.5)
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