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: L2: L3: x= -2-t, y=-2-2t, z=1-2t, -∞
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: L2: L3: x= -2-t, y=-2-2t, z=1-2t, -∞
Chapter11: Conics
Section11.1: Distance And Midpoint Formulas; Circles
Problem 11.7TI: Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are (3,5) and...
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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= -2-t, y=-2-2t, z=1-2t, -∞0<t<∞
L2:
x = -6-2s, y=-7-4s, z=2-4s, -∞0<$<∞0
x = −4+2r, y = -5+ 3r, z=2-r. -∞<r<∞
L3:
xxx
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type exact answers, using radicals as needed.)
A. L1 and L2 are parallel. Their distance is √26
O B. L1 and L2 are skew. Their distance is
OC. L1 and L2 intersect at the point (..)
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type exact answers, using radicals as needed.)
OA. L1 and L3 are parallel. Their distance is
B. L1 and L3 are skew. Their distance is
C. L1 and L3 intersect at the point (-2-2.1)
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type exact answers, using radicals as needed.)
A. L2 and L3 are skew. Their distance is
O B. L2 and L3 intersect at the point (D
OC. L2 and L3 are parallel. Their distance is
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