Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose graphic representation is: 11 A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (12uv, -6v², 3v³ - 2u²) B) n = (v, 2u, 0) C) n = (u, 3v², 6v) D) n = (-12uv, 6v², 2u² – 3v³)
Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose graphic representation is: 11 A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (12uv, -6v², 3v³ - 2u²) B) n = (v, 2u, 0) C) n = (u, 3v², 6v) D) n = (-12uv, 6v², 2u² – 3v³)
Elementary Linear Algebra (MindTap Course List)
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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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![Consider the surface S given by:
S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1]
whose graphic representation is:
11
A normal vector to S, oriented as shown in the figure, corresponds to:
A) n = (12uv, -6v², 3v³ - 2u²)
B) n = (v, 2u, 0)
C) n = (u, 3v², 6v)
D) n = (-12uv, 6v², 2u² — 3v³)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fd1dd9e-a74c-43f7-bc1c-bd320a4d8250%2F5b675c8a-856a-4d39-aa6c-a51dff5ea967%2Fhe568fw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the surface S given by:
S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1]
whose graphic representation is:
11
A normal vector to S, oriented as shown in the figure, corresponds to:
A) n = (12uv, -6v², 3v³ - 2u²)
B) n = (v, 2u, 0)
C) n = (u, 3v², 6v)
D) n = (-12uv, 6v², 2u² — 3v³)
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