Consider the surface S given by: S: r(u, v) = (uv, u, u²+v³), u € [0, 1], v € [0,2] whose graphic representation is A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (-2v, 2²-2u², u) B) n = (u,0, 2v) C) n = (v, 1, 2u) D) n (2v, 2u²-20², -u)

Consider the surface S given by: S: r(u, v) = (uv, u, u²+v³), u € [0, 1], v € [0,2] whose graphic representation is A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (-2v, 2²-2u², u) B) n = (u,0, 2v) C) n = (v, 1, 2u) D) n (2v, 2u²-20², -u)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

Consider the surface S given by:
S: r(u, v) = (uv, u, u²+ v²), ue [0, 1], v € [0,2]
whose graphic representation is
A normal vector to S, oriented as shown in the figure, corresponds
to:
A) n = (-2v, 2²-2u², u)
B) n = (u,0, 2v)
C) n = (v, 1, 2u)
D) n (2v, 2u²2u², -u)

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