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)= (8 cos ²,8 sin t²) for 0 ≤t≤2 T=CD N=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
icon
Related questions
Question
Answer both parts Thank you
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) = (8 cos ²,8 sin t²) for 0 st≤2
T=CD
N=
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) = (8 cos ²,8 sin t²) for 0 st≤2 T=CD N=
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,