Tangent or Velocity: \[ \frac{1}{r} \underline{r}'(t) = \begin{pmatrix} 1-\lambda \cos{t} \\ \lambda\sin{t} \end{pmatrix} = \begin{pmatrix} 1\\0 \end{pmatrix} - \lambda \begin{pmatrix} \cos{t} \\ -\sin{t} \end{pmatrix} = \underline{i} - \lambda\underline{q}(t) \] Unit vector: \[ \underline{q}(t) = \begin{pmatrix} \cos{t} \\ -\sin{t} \end{pmatrix} \perp \underline{p}(t) \] @Image 2-Fig.svg
@Code 2-Fig.tikz.tex height=300px