Tangential and Normal Components of Acceleration Vectors
Given a parametrized curve
We have
as the unit tangent vector which is tangent to at time , - and
as the unit normal vector to which is orthogonal at time , By definition, the dot product .
More precisely,
is defined as is defined as
Fact:
Where
Binormal Vector
In 3d, the binormal vector is defined as the cross product of tangent and normal vector
Reference
tags:vector curvedefinitions