Exercise 9: Line 1 has equations x =-1+2s , y= 1-2s and z = 1+4s. Line 2 has equations x = 1-t, y =t and z = 3- 2t. Line 3 has equations -y-l=. x-1 Z-4 ソー a) Show that line 1 and line 2 are parallel. b) Show that line 2 and line 3 intersect and find the angle between them.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.3: Proving Lines Parallel
Problem 34E
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Exercise 9:
Line 1 has equations x =-1+2s , y= 1-2s and z = 1+ 4s.
Line 2 has equations x = 1-t, y =t and z = 3 - 21.
%3D
Line 3 has equations --y-i=.
x-1
Z-4
2
a) Show that line 1 and line 2 are parallel.
b) Show that line 2 and line 3 intersect and find the angle between them.
Transcribed Image Text:Exercise 9: Line 1 has equations x =-1+2s , y= 1-2s and z = 1+ 4s. Line 2 has equations x = 1-t, y =t and z = 3 - 21. %3D Line 3 has equations --y-i=. x-1 Z-4 2 a) Show that line 1 and line 2 are parallel. b) Show that line 2 and line 3 intersect and find the angle between them.
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