Let L₁ be the line passing through the point P₁(-3, 1, -2) with direction vector d=[0, -1, 2]T, and let L₂ be the line passing through the point P₂(3, 5, -5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)
Let L₁ be the line passing through the point P₁(-3, 1, -2) with direction vector d=[0, -1, 2]T, and let L₂ be the line passing through the point P₂(3, 5, -5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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![Let L₁ be the line passing through the point P₁(−3, 1, −2) with direction vector d=[0, −1, 2]T, and let L₂ be the line passing through the point P₂(3, 5, −5) with the same direction vector.
Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your
answer.
d
0
Q₁ = (0,0,0)
Q₂ = (0,0,0)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec2b7ff9-b952-4215-9e0f-f264e2036fb8%2F6d576fe8-43ff-4d80-89a1-2d977d734e9e%2Fqaf71hi_processed.png&w=3840&q=75)
Transcribed Image Text:Let L₁ be the line passing through the point P₁(−3, 1, −2) with direction vector d=[0, −1, 2]T, and let L₂ be the line passing through the point P₂(3, 5, −5) with the same direction vector.
Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your
answer.
d
0
Q₁ = (0,0,0)
Q₂ = (0,0,0)
=
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