Let W1 and W2 be skew-symmetric tensors with axial vectors w1 and w2 respectively. Show that tr(W1W2)=−2w1∙w2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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Let W1 and W2 be skew-symmetric tensors with axial vectors w1 and w2 respectively. Show that

tr(W1W2)=−2w1∙w2

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