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. x= -2+t, y=1+2t, z=-1-t, -∞

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
x= -2+t, y=1+2t, z= −1−t, -∞<t<∞
L2:
x = −7+2s, y = −10+4s, z= -2-2s, -∞<S<∞
x= -3+r, y = -2+3r, z = −3+2r, -∞ <r<∞
Select the correct choice below and fill in the answer box(es) to complete your
choice.
(Type exact answers, using radicals as needed.)
O A. L1 and L2 intersect at the point (D).
OB. L1 and L2 are skew. Their distance is
OC. L1 and L2 are parallel. Their distance is
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. x= -2+t, y=1+2t, z= −1−t, -∞<t<∞ L2: x = −7+2s, y = −10+4s, z= -2-2s, -∞<S<∞ x= -3+r, y = -2+3r, z = −3+2r, -∞ <r<∞ Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers, using radicals as needed.) O A. L1 and L2 intersect at the point (D). OB. L1 and L2 are skew. Their distance is OC. L1 and L2 are parallel. Their distance is
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