Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Oh no! Our educators are currently working hard solving this question.

In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics.

University of North Texas

# The following formulas, called the Frenet-Serret formulas, are of fundamental importance in differential geometry:$$\begin{array}{l}{\text { 1. } d \mathbf{T} / d s=\kappa \mathbf{N}} \\ {\text { 2. } d \mathbf{N} / d s=-\kappa \mathbf{T}+\tau \mathbf{B}} \\ {\text { 3. } d \mathbf{B} / d s=-\tau \mathbf{N}}\end{array}$$(Formula 1 comes from Exercise 47 and Formula 3comes from Exercise $49 .$ ) Use the fact that $\mathbf{N}=\mathbf{B} \times \mathbf{T}$to deduce Formula 2 from Formulas 1 and 3 .

## $$=\tau \vec{B}-K \vec{T}$$

Vectors

Vector Functions

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

University of North Texas

Vectors

Vector Functions

Lectures

Join Bootcamp