Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are parallel and find the distance - between them. NOTE: Enter the exact answer. Li and L2 are parallel because they are parallel to vectors v1 and v2 that satisfy : Choose one ▼ Choose one VịxV2 + 0 D = V1•V2=0 Vi = kv2 %3D

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 = 2 – t, y = 2t, z = 5+t and
L2 : x = 1+ 4t, y =
%3D
3 – 8t, z = 5 - 4t 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 ▼
Choose one
VịxV2 + 0
D =
V1•V2=0
Vi = kv2
Transcribed Image Text:Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = %3D 3 – 8t, z = 5 - 4t 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 ▼ Choose one VịxV2 + 0 D = V1•V2=0 Vi = kv2
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