Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve. Verify that |T|=|N| = 1 and T-N = 0. r(t) = (3 sint,3 cost,4t) T=0.00 N=

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 26E
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Find the unit tangent vector T and the principal unit normal vector N for the
following parameterized curve. Verify that |T|=|N| = 1 and T.N=0.
r(t) = (3 sint,3 cost, 4t)
T=0.00
N=000
Transcribed Image Text:Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve. Verify that |T|=|N| = 1 and T.N=0. r(t) = (3 sint,3 cost, 4t) T=0.00 N=000
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