I've drawn a smooth curve from a point p to a point q using the package tikz.
\usepackage{tikz}
\begin{document}
\begin{center}
\begin{tikzpicture}
\draw[gray, thick] (0,0) to [out=-20, in=170] (8,0);
\filldraw[black] (0,0)circle(1.5pt) node[anchor = east]{$p$};
\filldraw[black] (8,0)circle(1.5pt) node[anchor = west]{$q$};
\end{tikzpicture}
\end{center}
\end{document}
Now I would like to draw 2 different vector fields along my curve:
- the velocity vector field of the curve, i.e. a tangent vector field of constant length;
- another vector fields which is orthogonal with the curve at every point, and it has increasing length. More precisely, it has zero length at the starting point p and it has unitary length at the end point q.
Any help will be really appreciated!
Thank you very much!