Vector Calculus: TNB Frame Vectors

Master J · Nov 3, 2008

In vector calculus, with a space curve C, there are the 3 vectors, tangent, normal, and binormal.

Are they always considered in their UNIT form, ie., divided by their length?

mathman · Nov 3, 2008

Master J said:

In vector calculus, with a space curve C, there are the 3 vectors, tangent, normal, and binormal.

Are they always considered in their UNIT form, ie., divided by their length?

There is no hard and fast rule. It is simply a matter of convention.

Vector Calculus: TNB Frame Vectors

Discussion

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

High School Arc Length for Hyperbolic Sin

Undergrad Best way to numerically solve this system of equations?

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Graduate Leibniz Rule Videos on Digital-University

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Vector Calculus: TNB Frame Vectors

Discussion

Similar threads

Undergrad Struggling with vector calculus identity used in E&M derivation

Undergrad I want to know which software was used to create vector calculus graph

Graduate Vector calculus - Prove a function is not differentiable at (0,0)

High School What is the Significance of the Laplace Operator in Vector Calculus?

Undergrad Using the Chain Rule for Vector Calculus: A Tutorial

Undergrad Vector calculus identity format question

How Can I Prove These Vector Calculus Relations?

Undergrad Vector Calculus: Divergence of Dyadic AB

High School How Do You Prove This Vector Calculus Identity from Turbulence?

Graduate What Comes After Vector Calculus in Pure Calculus?