9. The curve to the right is called Fermat's Spiral. Suppose we give the curve the orientation indicated by the arrows. a. Sketch unit tangent and unit normal vectors at the three indicated points. If either of them are undefined at a point, note that below. b. For each point, state whether the unit binormal vector points into the page, out of the page, or is undefined. C: A: B: How does the curvature x compare at the three points? List the points in increasing order of curvature C. (smallest to greatest).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 5AEXP
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9. The curve to the right is called Fermat's Spiral. Suppose we
give the curve the orientation indicated by the arrows.
a. Sketch unit tangent and unit normal vectors at the three
indicated points. If either of them are undefined at a
B
point, note that below.
b. For each point, state whether the unit binormal vector
points into the page, out of the page, or is undefined.
C:
A:
B:
How does the curvature K compare at the three points? List the points in increasing order of curvature
C.
(smallest to greatest).
Transcribed Image Text:9. The curve to the right is called Fermat's Spiral. Suppose we give the curve the orientation indicated by the arrows. a. Sketch unit tangent and unit normal vectors at the three indicated points. If either of them are undefined at a B point, note that below. b. For each point, state whether the unit binormal vector points into the page, out of the page, or is undefined. C: A: B: How does the curvature K compare at the three points? List the points in increasing order of curvature C. (smallest to greatest).
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