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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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