Normal ,Binormal, Unit tangent & Curvature (Cal III) #engineering #calculus3 #advancemath

In this video you will learn how to calculate normal , unit tangent and binormal vectors of a vector function.Also, you will learn how to find curvature of a vector function when the unit tangent vector is given.

To find a unit tangent vector : first take the derivative of a vector function then divide it by the magnitude of the derivative.

To find normal vector : take the derivative of unit tangent and divide it by the norm of the derivative of the unit tangent vector.

To find the binormal vector : cross-product the unit tangent vector and normal vector. B{t) = T(t) x N(t)

To find the curvature of a vector function : ||T'(t)||/ || r'(t)|| or if you are not given then unit tangent vector then solve it using r't x r''t/ (||r'(t)||)^3

Time codes:
0:00 explaining formulas
2:05 find a unit tangent vector.
6:35 find normal vector .
12:58 find the binormal vector.
22:55 find the curvature of a vector function .

Видео Normal ,Binormal, Unit tangent & Curvature (Cal III) #engineering #calculus3 #advancemath канала Lakhani STEM Tutorials