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Consider the lines l₁: x = [2, 1, 3] + t₁ [1, 1/2, −2], t1 ≤ R, l2: x = [1, 1, 1] + t₂[2, 1, −4], t2 € R, l3 : x = [−1, 0, 5] + t3 [−6, −3, 12], të € R, and l4: x = [1, 2, 3] + t₁ [3, −1, 4], tɩ ЄR, for t1, t2, t3, t4 Є R. Which two lines are the same line?

Consider the lines l₁: x = [2, 1, 3] + t₁ [1, 1/2, −2], t1 ≤ R, l2: x = [1, 1, 1] + t₂[2, 1, −4], t2 € R, l3 : x = [−1, 0, 5] + t3 [−6, −3, 12], të € R, and l4: x = [1, 2, 3] + t₁ [3, −1, 4], tɩ ЄR, for t1, t2, t3, t4 Є R. Which two lines are the same line?

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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Question 8 Consider the lines = l1 x [2, 1, 3] + t₁ [1, 1/2, -2], t₁ = R, l2: x = [1, 1, 1] + t₂ [2, 1, −4], t₂ € R, l3: x = [−1,0,5] + t3 [−6, −3, 12], tз Є R, and l4: x = [1, 2, 3] + t4 [3, −1, 4], t4 ЄR, for t1, t2, t3, t4 E R. Which two lines are the same line?
Transcribed Image Text:Question 8 Consider the lines = l1 x [2, 1, 3] + t₁ [1, 1/2, -2], t₁ = R, l2: x = [1, 1, 1] + t₂ [2, 1, −4], t₂ € R, l3: x = [−1,0,5] + t3 [−6, −3, 12], tз Є R, and l4: x = [1, 2, 3] + t4 [3, −1, 4], t4 ЄR, for t1, t2, t3, t4 E R. Which two lines are the same line?
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