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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let L7 be the line passing through the point P1=(-1,-2, -2) with direction vector d=[-3, -3, 1]', and let L2 be the line passing through the point P2=(-5, 1, 2) with the same direction vector.
Find the shortest distance d between these two lines, and find a point Qz on L7 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)
Transcribed Image Text:Let L7 be the line passing through the point P1=(-1,-2, -2) with direction vector d=[-3, -3, 1]', and let L2 be the line passing through the point P2=(-5, 1, 2) with the same direction vector. Find the shortest distance d between these two lines, and find a point Qz on L7 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)
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