Show that the lines L1 : x = 2 – t, y = 2t, z =1+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance between them. NOTE: Enter the exact answer. Li and L2 are parallel because they are parallel to vectors vị and v2 that satisfy : Choose one - Choose one Vi = kv2 D V1•V2=0 V1XV2 # 0 ||

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
icon
Related questions
Question
Show that the lines L1 : x = 2 – t, y = 2t, z =1+t and
L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance
between them.
NOTE: Enter the exact answer.
Li and L2 are parallel because they are parallel to vectors vị and v2
that satisfy :
Choose one -
Choose one
Vi = kv2
D
V1•V2=0
V1XV2 # 0
||
Transcribed Image Text:Show that the lines L1 : x = 2 – t, y = 2t, z =1+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance between them. NOTE: Enter the exact answer. Li and L2 are parallel because they are parallel to vectors vị and v2 that satisfy : Choose one - Choose one Vi = kv2 D V1•V2=0 V1XV2 # 0 ||
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,