Let L₁ be the line passing through the point P₁=(-7, 6, -6) with direction vector ₁-[-3, 1,-1], and let L₂ be the line passing through the point P₂=(-3, -3, -3) with direction vector d2= [-5, -3, 3]¹. 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)
Let L₁ be the line passing through the point P₁=(-7, 6, -6) with direction vector ₁-[-3, 1,-1], and let L₂ be the line passing through the point P₂=(-3, -3, -3) with direction vector d2= [-5, -3, 3]¹. 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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
Related questions
Question
![Let L₁ be the line passing through the point P₁=(−7, 6, −6) with direction vector ₁=[−3, 1, −1]ª,
and let L2 be the line passing through the point P₂=(-3, −3, −3) with direction vector d2=
[-5, -3, 3]¹.
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%2Fe6ab09e2-f11a-4486-af0c-015afafa1dbe%2Fd7edc26b-ccc5-4704-a2d3-fc1d567e883b%2Fjc8al5_processed.png&w=3840&q=75)
Transcribed Image Text:Let L₁ be the line passing through the point P₁=(−7, 6, −6) with direction vector ₁=[−3, 1, −1]ª,
and let L2 be the line passing through the point P₂=(-3, −3, −3) with direction vector d2=
[-5, -3, 3]¹.
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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