8. Write a vector equation and a scalar equation of a plane that satisfies each set of conditions. a) perpendicular to [x, y, z]= [5, 3, −1] + t[−1, 7, 2] and containing the point (1, 2, 5) b) parallel to the xz-plane and containing the point (-3, 1, 7) c) parallel to the plane 4.45
8. Write a vector equation and a scalar equation of a plane that satisfies each set of conditions. a) perpendicular to [x, y, z]= [5, 3, −1] + t[−1, 7, 2] and containing the point (1, 2, 5) b) parallel to the xz-plane and containing the point (-3, 1, 7) c) parallel to the plane 4.45
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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![B
8 Write a vector equation and a scalar
equation of a plane that satisfies each set
of conditions.
a) perpendicular to
[x, y, z] = [5, 3, −1] + t[−1, 7, 2] and
containing the point (1, 2, 5)
b) parallel to the xz-plane and
containing the point (-3, 1, 7)
c) parallel to the plane
3x + 5y - z+ 7 = 0
d) containing the lines
[x, y, z]= [2, 4, 1] + s[3, -1, 1] and
[x, y, z]= [1, 4, 4] + [-3, 1, -1]
11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b61f656-6bb7-4df4-8bc0-3cbdfdb249a1%2F7eeeccee-de79-4bf3-8e2e-1178ee771b9c%2F8ov2iy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B
8 Write a vector equation and a scalar
equation of a plane that satisfies each set
of conditions.
a) perpendicular to
[x, y, z] = [5, 3, −1] + t[−1, 7, 2] and
containing the point (1, 2, 5)
b) parallel to the xz-plane and
containing the point (-3, 1, 7)
c) parallel to the plane
3x + 5y - z+ 7 = 0
d) containing the lines
[x, y, z]= [2, 4, 1] + s[3, -1, 1] and
[x, y, z]= [1, 4, 4] + [-3, 1, -1]
11
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