3. Consider these three lines: l4: x = 2+5t, y= -2 – 3t, z = 4t, -00

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 27E
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only part b

3. Consider these three lines: l4: x = 2+5t, y= -2 – 3t, z = 4t,
-00 <t<0
l2: x = -1+2s, y = 2 – 2s, z= 6 – 4s,
-00 < s<o
lz: x = 8 – 27, y = -6+ 27, z= 2+4T,
-00 <T< O0
a) Determine which pair of lines intersects, and find the point of intersection.
b) Find the equation of the plane which contains l1 and does not intersect l2.
Transcribed Image Text:3. Consider these three lines: l4: x = 2+5t, y= -2 – 3t, z = 4t, -00 <t<0 l2: x = -1+2s, y = 2 – 2s, z= 6 – 4s, -00 < s<o lz: x = 8 – 27, y = -6+ 27, z= 2+4T, -00 <T< O0 a) Determine which pair of lines intersects, and find the point of intersection. b) Find the equation of the plane which contains l1 and does not intersect l2.
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