Show that if u, v, w, and r are any vectors, then a) u x (v x w) + v × (w × u) + w × (u x v) = 0 b) u x v = (u·v ×i)i+ (u · v ×j)j+(u · v × k)k ju•W c) (u x v) · (w × r) = . u.r V•r
Show that if u, v, w, and r are any vectors, then a) u x (v x w) + v × (w × u) + w × (u x v) = 0 b) u x v = (u·v ×i)i+ (u · v ×j)j+(u · v × k)k ju•W c) (u x v) · (w × r) = . u.r V•r
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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Transcribed Image Text:Show that if u, v, w, and r are any vectors, then
a) u x (v x w) + v × (w × u) +w × (u × v) = 0
b) u x v = (u ·v × i)i + (u · v ×j)j+ (u · v × k)k
u:W
V. W|
c) (u x v) · (w x r) =
u'r
V•r
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