(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

(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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 7E

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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

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