Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6 – 2s). 4.1. Are the lines l3 and l4 parallel or skew? Justify your answer. 4.2. Find the distance between the two lines.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 35E
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Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6 – 2s).
4.1. Are the lines l3 and l4 parallel or skew? Justify your answer.
4.2. Find the distance between the two lines.
Transcribed Image Text:Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6 – 2s). 4.1. Are the lines l3 and l4 parallel or skew? Justify your answer. 4.2. Find the distance between the two lines.
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