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:
Ll: x = 3 + 2t, y = −1 + 4t, z = 2 = t;
L2: x =
=
-3 + 4s;
1 + 4s, y = 1 + 2s, z
L3: x = 3 + 2r, y = 2 + r, z
-2 + 2r;
-∞ < t <∞
-∞< s <∞
-∞
Ll: x = 3 + 2t, y = −1 + 4t, z = 2 = t;
L2: x =
=
-3 + 4s;
1 + 4s, y = 1 + 2s, z
L3: x = 3 + 2r, y = 2 + r, z
-2 + 2r;
-∞ < t <∞
-∞< s <∞
-∞
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The two lines can be described as L1 x 1 2t y 3 t z 4 3t L2 x 5 3s y 2 2s z 1 5s To determine whethe...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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