Let be the cylindrical surface that is represented by thevector-valued function r(u, v)
Chapter 15, Problem 8(choose chapter or problem)
Let σ be the cylindrical surface that is represented by the vector-valued function \(r(u, v) = cos\ vi + sin\ v j + uk\) with \(0 \leq u \leq 1\) and \(0 \leq v \leq 2 \pi\).
(a) Find the unit normal \(n = n(u, v)\) that defines the positive orientation of \(\sigma\).
(b) Is the positive orientation inward or outward? Justify your answer.
Equation Transcription:
0 ≤ u ≤ 1
0 ≤ v ≤ 2π
σ
Text Transcription:
r(u, v) = cos vi + sin v j + uk
0 <= u <= 1
0 <= v <= 2pi
n = n(u, v)
sigma
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