__Notes:__

**Finding Curvature**The curvature is a way to measure how fast the vector curve $r(t)$ is changing direction from a point $P$.

The formal definition of a curvature is:

$\kappa = |\frac{dT}{ds}|$

Which is the absolute value of the derivative of unit tangent vector $T(t)$ in terms of the arc length $s$.We will not be using this formula since it's very complicating to use. Instead, we will be using these two formulas to calculate $\kappa$.

$\kappa = \frac{||T'(t)||}{||r'(t)||}$

$\kappa = \frac{||r'(t) \times r''(t)||}{||r'(t)||^3}$