Consider lines ₁ and ₂. l₁ : [x, y] = [1, 4] + t[−7, 2] l₂: [x, y] = [-2, 6] + t[k, 9] a) For what value of k are the lines parallel? b) For what value of k are the lines perpendicular?
Consider lines ₁ and ₂. l₁ : [x, y] = [1, 4] + t[−7, 2] l₂: [x, y] = [-2, 6] + t[k, 9] a) For what value of k are the lines parallel? b) For what value of k are the lines perpendicular?
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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![20. Consider lines ₁ and ₂.
₁: [x, y] = [1, 4] + [-7, 2]
l₂: [x, y] = [-2, 6] + [k, 9]
a) For what value of k are the lines
parallel?
b) For what value of k are the lines
perpendicular?
mine if each yvector equation
€ 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b61f656-6bb7-4df4-8bc0-3cbdfdb249a1%2Fdab695dd-0c38-4b7b-bf47-efa5a3d3e136%2Fxm9rgud_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20. Consider lines ₁ and ₂.
₁: [x, y] = [1, 4] + [-7, 2]
l₂: [x, y] = [-2, 6] + [k, 9]
a) For what value of k are the lines
parallel?
b) For what value of k are the lines
perpendicular?
mine if each yvector equation
€ 3.
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