Show that the lines L₁ : x = 4-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 : Choose one 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 = 4-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 : Choose one
D=
||
Transcribed Image Text:Show that the lines L₁ : x = 4-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 : Choose one D= ||
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