Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line {₂:[−2,-7,2]+s[3,2,-3]. If the vector P₁P₂ is perpendicular to both l₁ and l2, determine the coordinates of P₁ and P2.
Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line {₂:[−2,-7,2]+s[3,2,-3]. If the vector P₁P₂ is perpendicular to both l₁ and l2, determine the coordinates of P₁ and P2.
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
P1 = (6,5,-4),P2=(4,−3,−4)
![10. Point P₁ lies on the line ₁:[4,4,−3]+t[2,1,-1],tER, and point P2 lies on the
line ₂:[−2,-7,2]+s[3,2,-3]. If the vector PP₂ is perpendicular to both l₁
and l2, determine the coordinates of P₁ and P2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc601785-c94a-44dd-ad02-ede9ffeff37c%2F370507b4-fae3-407b-a7a3-13c89b0799a1%2F00modx_processed.png&w=3840&q=75)
Transcribed Image Text:10. Point P₁ lies on the line ₁:[4,4,−3]+t[2,1,-1],tER, and point P2 lies on the
line ₂:[−2,-7,2]+s[3,2,-3]. If the vector PP₂ is perpendicular to both l₁
and l2, determine the coordinates of P₁ and P2.
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