Frenet Frames & Formulas


Section 2. Unit Speed Curves and T, N, B.
 

Definition 3.


 

Exercise 3.1. In each example below determine whether or not T, N, B is a Frame Field.

Example 3.1.

Example 3.2.

Example 3.3.

Example 3.4.


Theorem 1.


 

Theorem 2.


 

Theorem 3. [Frenet Formulas]



 

Exercise 3.2.

Exercise 3.3.