Determine whether the following pairs of lines intersect, are parallel or are skewed. If they intersect, find the point of intersection. (a) l1: x = 3+ 3t, y = 1- 4t, z = -4 – 7t l2: x = 2+3s, y = 5 – 4s, 2 = 3 – 7s. 구- y - 2 %3D x - 3 (c) l1 : (b) е: -4 1 x + 2 l2 : 3 y – 3 z+2 y - 3 l2: -1 %3D %3D 1 3 -1 1
Determine whether the following pairs of lines intersect, are parallel or are skewed. If they intersect, find the point of intersection. (a) l1: x = 3+ 3t, y = 1- 4t, z = -4 – 7t l2: x = 2+3s, y = 5 – 4s, 2 = 3 – 7s. 구- y - 2 %3D x - 3 (c) l1 : (b) е: -4 1 x + 2 l2 : 3 y – 3 z+2 y - 3 l2: -1 %3D %3D 1 3 -1 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine whether the following pairs of lines intersect, are parallel or are skewed. If they
intersect, find the point of intersection.
(a) l1: a = 3+ 3t,
y = 1- 4t,
z = -4 – 7t
l2: x = 2+3s,
y = 5 – 4s,
2 = 3 – 7s.
|
|
x - 3
(c) l1:
2
(b) l1 :
%3D
-4
1
2
l2 :
z +2
x + 2
l2:
y - 3
%3D
%3D
%3D
1
3
1
2.
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