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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+1, y = -1+2t, z=-1-t, -∞

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, -∞

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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