Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are parallel and find the distance between them. NOTE: Enter the exact answer. L₁ and L2 are parallel because they are parallel to vectors v₁ and v2 that satisfy : V1 V₂=0 D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and
L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are parallel and find the distance
between them.
NOTE: Enter the exact answer.
L₁ and L2 are parallel because they are parallel to vectors v₁ and v2
that satisfy : V1 V₂=0
D
Transcribed Image Text:Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are parallel and find the distance between them. NOTE: Enter the exact answer. L₁ and L2 are parallel because they are parallel to vectors v₁ and v2 that satisfy : V1 V₂=0 D
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