Pseudovectors and transformations

Here are some notes for my Fluid Dynamics II students about vectors, pseudovectors and how they transform under reflections. $$ \newcommand{n}{\mathbf{n}} \newcommand{r}{\mathbf{r}} \newcommand{v}{\mathbf{v}} \newcommand{L}{\mathbf{L}} \newcommand{R}{\mathsf{R}} $$ Let $\n$ be a unit vector, $\Pi$ be the plane perpendicular …