Given two lines in space, either they are parallel, they intersect, or they are skew (lie in
Question:
Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines, 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.
Transcribed Image Text:
L1: x = 1 + 2t,
L2: x = 2-s,
L3: x =
y=-1-t,
z = 3t;
y = 3s, z = 1+ s;
-
5 + 2r, y = 1−r, z = 8 + 3r;
-∞ < t < ∞
-∞<$<∞
-∞
L1: x = 1 + 2t,
L2: x = 2-s,
L3: x =
y=-1-t,
z = 3t;
y = 3s, z = 1+ s;
-
5 + 2r, y = 1−r, z = 8 + 3r;
-∞ < t < ∞
-∞<$<∞
-∞
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The two lines can be described as L1 x 2 t y 1 t z 3t L2 x 1 s y 3 2s z 2s To determine whether the ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
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