3. For the lines L;:x = 4t – 1, y=t- 3, z=1 and L2: x= 12t + 11, y=1+ 6t, z= 2 + 3t a. Show that the two lines are not parallel b. Find their intersection point, or show they are skew lines.

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 5E: For the line l:x,y,z=2,3,4+n3,-2,5, find a a point of the line. b a direction vector for the line.
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3. For the lines L;:x = 4t – 1, y=t- 3, z=1 and L2: x = 12t + 11, y=1+ 6t, z= 2 + 3t
a. Show that the two lines are not parallel
b. Find their intersection point, or show they are skew lines.
Transcribed Image Text:3. For the lines L;:x = 4t – 1, y=t- 3, z=1 and L2: x = 12t + 11, y=1+ 6t, z= 2 + 3t a. Show that the two lines are not parallel b. Find their intersection point, or show they are skew lines.
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