Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines below, taken two at a time, are parallel, intersect, or are skew. If they intersect, find the point of intersection. Otherwise, find the distance between the two lines. L1: x= -1+1, y = -1+2t, z=-1-t, -∞

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
Section10.2: Graphs Of Linear Equations And Slope
Problem 44E: Prove that if two lines neither horizontal nor vertical are perpendicular, then the product of their...
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Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines below, taken two at a time, are
parallel, intersect, or are skew. If they intersect, find the point of intersection. Otherwise, find the distance between the two lines.
L1:
x= -1+t, y=-1+2t, z=-1-t, -∞<t<∞
12:
x = 4+2s, y = 11+ 4s, z=1-2s, -∞o<S<∞
L3
x = -1 +r₁ y=-1+4r, z=-1-2r, -∞0<r<∞
Select the correct choice below and fill in the answer box(es) to complete your choice.
Transcribed Image Text:Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines below, taken two at a time, are parallel, intersect, or are skew. If they intersect, find the point of intersection. Otherwise, find the distance between the two lines. L1: x= -1+t, y=-1+2t, z=-1-t, -∞<t<∞ 12: x = 4+2s, y = 11+ 4s, z=1-2s, -∞o<S<∞ L3 x = -1 +r₁ y=-1+4r, z=-1-2r, -∞0<r<∞ Select the correct choice below and fill in the answer box(es) to complete your choice.
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