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= ((R+ Exercise 3. Show that the Shape operator S for the torus X r cos u) cos v, (R + r cos u) sin v, r sin u) in the basis X, X, is the matrix below, 5 - (+ S 0 - cos u R+r cos u

= ((R+ Exercise 3. Show that the Shape operator S for the torus X r cos u) cos v, (R + r cos u) sin v, r sin u) in the basis X, X, is the matrix below, 5 - (+ S 0 - cos u R+r cos u

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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Exercise 3. Show that the Shape operator S for the torus X = ((R+ r cos u) cos v, (R+ r cos u) sin v, r sin u) in the basis Xu, X, is the matrix below, S = r 0 - cos u R+r cos u
Transcribed Image Text:Exercise 3. Show that the Shape operator S for the torus X = ((R+ r cos u) cos v, (R+ r cos u) sin v, r sin u) in the basis Xu, X, is the matrix below, S = r 0 - cos u R+r cos u
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