What is a plane curves principal normal vector When is it

Chapter 12, Problem 9

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QUESTION:

What is a plane curved principal normal vector? When is it defined? Which way does it point? Give an example.

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QUESTION:

What is a plane curved principal normal vector? When is it defined? Which way does it point? Give an example.

ANSWER:

Problem 9

What is a plane curved principal normal vector? When is it defined? Which way does it point? Give an example.

                                                               Step by Step Solution

Step 1 of 3

Let  be unit tangent vectors at some point  of the some plane curve .

If  is n’t the length 1 we can simply normalize it but for the convenience let us assume that it is a unit vector.

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