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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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Finding the Principal Unit Normal VectorIn Exercises 15–20, find the principal unit normal vector to the curve at the specified value of the parameter.

To determine

**To calculate:** The unit normal vector to curve,

Explanation

**Given:**

The provided curve is:

And the specified value of the parameter is:

**Formula used:**

Consider that C be a smooth curve represented by **r** over an open interval *I*.

Then, the unit tangent vector at *t* is shown below as:

And the unit normal vector at *t* is:

**Calculation:**

The provided curve is,

Now, the derivative of curve

Therefore, the unit tangent vector is calculated as:

Show all chapter solutions

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

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