Find the distance between the parallel lines in each pair. a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3] l₂: [x, y, z] = [-4, 0, 1] + s[2, 1, 3] b) l₁: [x, y, z] = [5, 3, -2] + [4, -5, 2] l₂: [x, y, z] = [-7, 1, 1] + s[4, -5, 2]
Find the distance between the parallel lines in each pair. a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3] l₂: [x, y, z] = [-4, 0, 1] + s[2, 1, 3] b) l₁: [x, y, z] = [5, 3, -2] + [4, -5, 2] l₂: [x, y, z] = [-7, 1, 1] + s[4, -5, 2]
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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Question
![that ₂ is 8 units away from the plane.
Find the distance between the parallel
lines in each pair.
a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3]
l₂: [x, y, z] = [-4, 0, 1] + s[2, 1, 3]
b) l₁: [x, y, z]= [5, 3, -2] + [4, -5, 2]
l₂: [x, y, z] = [-7, 1, 1] + s[4, -5, 2]
In each case, determine the distance](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b61f656-6bb7-4df4-8bc0-3cbdfdb249a1%2F36cbd0b2-6f7d-4b34-b102-8278e1cf03fc%2Fs9zgpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:that ₂ is 8 units away from the plane.
Find the distance between the parallel
lines in each pair.
a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3]
l₂: [x, y, z] = [-4, 0, 1] + s[2, 1, 3]
b) l₁: [x, y, z]= [5, 3, -2] + [4, -5, 2]
l₂: [x, y, z] = [-7, 1, 1] + s[4, -5, 2]
In each case, determine the distance
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