2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 + 2s). %3D 3.1. Are the lines l3 and l4 parallel or skew? Justify your answer. 3.2. Find the distance between the two lines.

Elementary Geometry For College Students, 7e
7th Edition
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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2 - y
3. Consider the lines defined by the equations lz : x – 1 =
= 3 – z and l4(s) = (1 – 2s, 4s, 1+2s).
2
%3D
%3D
3.1. Are the lines l3 and l4 parallel or skew? Justify your answer.
3.2. Find the distance between the two lines.
Transcribed Image Text:2 - y 3. Consider the lines defined by the equations lz : x – 1 = = 3 – z and l4(s) = (1 – 2s, 4s, 1+2s). 2 %3D %3D 3.1. Are the lines l3 and l4 parallel or skew? Justify your answer. 3.2. Find the distance between the two lines.
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