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a) Show that if u, v, and w are differentiable vector functions of t, then d du V X w +u - dt dv dw (u ·v × w) dt X w + u•v x - dt dt b) Show that

a) Show that if u, v, and w are differentiable vector functions of t, then d du V X w +u - dt dv dw (u ·v × w) dt X w + u•v x - dt dt b) Show that

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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a) Show that if u, v, and w are differentiable vector functions of t, then d du dv dw (u·v x w) dt v x w + u. xw+u•vx· dt dt dt b) Show that dr d'r dt * dt? (dr d³r\ = r: dt d dt dt3
Transcribed Image Text:a) Show that if u, v, and w are differentiable vector functions of t, then d du dv dw (u·v x w) dt v x w + u. xw+u•vx· dt dt dt b) Show that dr d'r dt * dt? (dr d³r\ = r: dt d dt dt3
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