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(a) Find the equation of the plane that contains the point (-1,5,0) and is orthogonal to the plane containing points (0, 1, 2), (3, 3, 4), and (4, -2, 1). (b) Find the distance between the point (-1, 5,0) and the plane containing the three points given in part (a).

(a) Find the equation of the plane that contains the point (-1,5,0) and is orthogonal to the plane containing points (0, 1, 2), (3, 3, 4), and (4, -2, 1). (b) Find the distance between the point (-1, 5,0) and the plane containing the three points given in part (a).

Advanced Engineering Mathematics
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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5. (a) Find the equation of the plane that contains the point (-1,5,0) and is orthogonal to the plane containing points (0, 1, 2), (3, 3, 4), and (4, –2, 1). (b) Find the distance between the point (-1, 5, 0) and the plane containing the three points given in part (@).
Transcribed Image Text:5. (a) Find the equation of the plane that contains the point (-1,5,0) and is orthogonal to the plane containing points (0, 1, 2), (3, 3, 4), and (4, –2, 1). (b) Find the distance between the point (-1, 5, 0) and the plane containing the three points given in part (@).
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