Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and let L₂ be the line passing through the point P₂=(1, 4, −5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₂ 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) 22=(0, 0, 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and let L₂ be the line passing through
the point P₂=(1, 4, −5) with the same direction vector.
Find the shortest distance d between these two lines, and find a point Q₁ on L₂ 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)
22=(0, 0, 0)
Transcribed Image Text:Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and let L₂ be the line passing through the point P₂=(1, 4, −5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₂ 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) 22=(0, 0, 0)
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