(a) A plane, P, contains the points with position vectors a = (2, 1, 0), 6 (2,1,0), b = (3,4,5) and c = (-1, 2, 1). Find the equation of the plane, expressed in terms of the Cartesian coordinates x, y and z in its simplest form.

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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(a) A plane, P, contains the points with position vectors a =
(2, 1, 0), 6
(2,1,0), b
=
(3,4,5) and
c = (-1, 2, 1). Find the equation of the plane, expressed in terms of the Cartesian
coordinates x, y and z in its simplest form.
Transcribed Image Text:(a) A plane, P, contains the points with position vectors a = (2, 1, 0), 6 (2,1,0), b = (3,4,5) and c = (-1, 2, 1). Find the equation of the plane, expressed in terms of the Cartesian coordinates x, y and z in its simplest form.
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