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 6² c² + + U V -= 0 or a (v + w) + b²(w+u) + c²(u + v) = 0. W
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 6² c² + + U V -= 0 or a (v + w) + b²(w+u) + c²(u + v) = 0. W
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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H1
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 6² c²
+
+
U
V
-= 0 or a(v + w) + b²(w+u) + c²(u + v) = 0.
W
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