nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C parallel to the coordinate planes is (ax^-1) + (by^ − 1) + (cz^ − 1) = 1 -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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A variable plane pes through a fixed point (a, b, c)
and meets the uses at A, B and C. Show that the locus of the point of intersection of the
planes through A, B and C parallel to the coordinate planes is
(ax^-1) + (by^ − 1) + (cz^ − 1) = 1
where a, b, c are alpha, beta and gamma
Transcribed Image Text:A variable plane pes through a fixed point (a, b, c) and meets the uses at A, B and C. Show that the locus of the point of intersection of the planes through A, B and C parallel to the coordinate planes is (ax^-1) + (by^ − 1) + (cz^ − 1) = 1 where a, b, c are alpha, beta and gamma
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