(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).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.1: Parabolas
Problem 1E: A parabola is the set of all points in the plane that are equidistant from a fixed point called the...
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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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