et a, b, and c be three numbers, not all zero. Show that the V et of all points whose barycentric coordinates X, μ, and that atisfy aλ + bu + cv = 0 is a line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Let a, b, and c be three numbers, not all zero. Show that the
set of all points whose barycentric coordinates A, µ, and v that
satisfy ad+ bµ + cv = 0 is a line.
Transcribed Image Text:Let a, b, and c be three numbers, not all zero. Show that the set of all points whose barycentric coordinates A, µ, and v that satisfy ad+ bµ + cv = 0 is a line.
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