19. Consider these lines. l₁: [x, y, z]= [2, 1, -4] + [1, 3, 1] l₂: [x, y, z] = [-1, 3, k] + s[-1, 1, -2] a) Determine an equation of the plane that contains ₁ and is parallel to 2. b) Determine a value of k so that 2 lies in the plane. c) Determine a different value of k so that 2 is 8 units away from the plane.
19. Consider these lines. l₁: [x, y, z]= [2, 1, -4] + [1, 3, 1] l₂: [x, y, z] = [-1, 3, k] + s[-1, 1, -2] a) Determine an equation of the plane that contains ₁ and is parallel to 2. b) Determine a value of k so that 2 lies in the plane. c) Determine a different value of k so that 2 is 8 units away from the plane.
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
![c) no points
19. Consider these lines.
l₁: [x, y, z]= [2, 1, -4] + [1, 3, 1]
l₂: [x, y, z] = [-1, 3, k] + s[-1, 1, -2]
a) Determine an equation of the plane
that contains ₁ and is parallel to 2.
b) Determine a value of k so that 2 lies
in the plane.
c) Determine a different value of k so
that 2 is 8 units away from the plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b61f656-6bb7-4df4-8bc0-3cbdfdb249a1%2Fa12ddf85-f1f9-4027-8109-7f9ce3c49d4d%2F73uslzb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c) no points
19. Consider these lines.
l₁: [x, y, z]= [2, 1, -4] + [1, 3, 1]
l₂: [x, y, z] = [-1, 3, k] + s[-1, 1, -2]
a) Determine an equation of the plane
that contains ₁ and is parallel to 2.
b) Determine a value of k so that 2 lies
in the plane.
c) Determine a different value of k so
that 2 is 8 units away from the plane.
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