For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of line L3 tha is parallel to the z-axis and passes through L1 and L2 at their intersection point. a. x=-12.29, y=17.86, z=8.14 b. x=-12.29+A, y=17.86, z=8.14+\ C. X=-12.29, y=17.86, z=8.14+A d. x=-12.29+A, y=17.86, z=8.14 e. x-17.86, y=-12.29, z=8.14+A f. None is correct

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 35E
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For the lines:
L1: x=2-4t, y= 5t, z=1+2t
L2: x=-7-k, y=2+3k, z= 5+k
Find the parametric equations of line L3 tha
is parallel to the z-axis and passes through
L1 and L2 at their intersection point.
a. x=-12.29, y=17.86, z=8.14
b. x=-12.29+A, y=17.86, z=8.14+\
C. X=-12.29, y=17.86, z=8.14+A
d. x=-12.29+A, y=17.86, z=8.14
e. x-17.86, y=-12.29, z=8.14+A
f. None is correct
Transcribed Image Text:For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of line L3 tha is parallel to the z-axis and passes through L1 and L2 at their intersection point. a. x=-12.29, y=17.86, z=8.14 b. x=-12.29+A, y=17.86, z=8.14+\ C. X=-12.29, y=17.86, z=8.14+A d. x=-12.29+A, y=17.86, z=8.14 e. x-17.86, y=-12.29, z=8.14+A f. None is correct
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