Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation of the line that passes through P and is perpendicular to the plane containing P, Q and R. Hence find the Cartesian form of the equation of the same line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation of the line that passes through P and is perpendicular to the plane containing P, Q and R. Hence find the Cartesian form of the equation of the same line.

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