Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and ul² + vm² + wn² = 0 are parallel or perpendicular as a² b² c² +-+ V 21 W = 0 or a (v + w) + b²(w+u) + c²(u + v) = 0.

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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Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and
ul² + vm² + wn² = 0 are parallel or perpendicular as
a² b² c²
+ +=0 or a²(v + w) + b²(w+u) + c²(u + v) = 0.
น
V
W
Transcribed Image Text:Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and ul² + vm² + wn² = 0 are parallel or perpendicular as a² b² c² + +=0 or a²(v + w) + b²(w+u) + c²(u + v) = 0. น V W
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