Let P be the point (-1,0, 2). Consider the plane that goes through the points A = B= (1, -3, 3), and C= (1, 2, 0). (3,4,-1), (7 points) Find a vector equation for the plane that goes through the point P and is parallel to the plane that goes through the points A, B, and C.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 9E
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Let P be the point (-1,0, 2). Consider the plane that goes through the points A = (3,4,-1),
B = (1, -3, 3), and C = (1,2,0).
(7 points) Find a vector equation for the plane that goes through the point P and is parallel to
the plane that goes through the points A, B, and C.
Transcribed Image Text:Let P be the point (-1,0, 2). Consider the plane that goes through the points A = (3,4,-1), B = (1, -3, 3), and C = (1,2,0). (7 points) Find a vector equation for the plane that goes through the point P and is parallel to the plane that goes through the points A, B, and C.
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