Understanding Torsion of Curve: Normal Unit Vector Explanation

[mech-eng]

how can we understand torsion of curve is in the direction of normal unit vector en?

 

[UltrafastPED]

Are you familiar with the Frenet-Serret formulas?
http://en.wikipedia.org/wiki/Frenet–Serret_formulas

 

[mech-eng]

Are you familiar with the Frenet-Serret formulas?
http://en.wikipedia.org/wiki/Frenet–Serret_formulas

I have first seen them today I will try to study them.

 

[UltrafastPED]

It is a mathematical system which helps with space curves; it starts with the idea that the tangent to a curve can be found by taking the derivative of the curve's functional definition wrt the distance along the curve.

Then two more orthogonal vectors are created, providing a co-moving orthogonal reference system.

This is usually first encountered in a vector calculus course, though it is useful in many areas of engineering.