Let a, b, c E R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a, c, 2] + t[b, c, 1], s, t e R. Suppose that P • is parallel to the plane 3x + 5y – 9z = 11; and • contains the point (-1, 10,9). Find a, b, and c.
Let a, b, c E R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a, c, 2] + t[b, c, 1], s, t e R. Suppose that P • is parallel to the plane 3x + 5y – 9z = 11; and • contains the point (-1, 10,9). Find a, b, and c.
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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![1. Let a, b, c ER, and consider the plane P with equation in vector form given by
x = [a, b, 3] + s[a, c, 2] + t[b, c, 1], s, t e R.
Suppose that P
• is parallel to the plane 3x + 5y – 9z = 11; and
• contains the point (-1, 10,9).
Find a, b, and c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F761f167c-e17c-40d2-94b3-b76763027cfb%2F8564e17f-8583-408a-97ab-76e5bc6699f8%2F3u0k8yi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let a, b, c ER, and consider the plane P with equation in vector form given by
x = [a, b, 3] + s[a, c, 2] + t[b, c, 1], s, t e R.
Suppose that P
• is parallel to the plane 3x + 5y – 9z = 11; and
• contains the point (-1, 10,9).
Find a, b, and c.
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