Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew- symmetric matrix whose operation is equivalent to a vector cross product. Show that (i) [n] [n]° = nn' -n1. (ii) [n] [n] [n]° =-n° [n] .
Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew- symmetric matrix whose operation is equivalent to a vector cross product. Show that (i) [n] [n]° = nn' -n1. (ii) [n] [n] [n]° =-n° [n] .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![ro U ocuom are contained inC?
Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew-
symmetric matrix whose operation is equivalent to a vector cross product. Show that
(1) [n] [n] = nn' -n 1.
(ii) [n] [n] [n]° = -n² [n] .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6752580f-219d-45de-9ca2-8d330cfe64fd%2F567ae182-1672-46d8-8146-ce6e96a0fee7%2Fcmgqame_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ro U ocuom are contained inC?
Let be the skew operator that transforms a 3x1 column matrix into the 3x3 skew-
symmetric matrix whose operation is equivalent to a vector cross product. Show that
(1) [n] [n] = nn' -n 1.
(ii) [n] [n] [n]° = -n² [n] .
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