A simplification.[br] Fix line [math] {\small l_0} [/math] to the x-axis[br] [math]\;\;\;{\rm u_0 = \vec x}, [/math][br][br]The [math]{\small R_k}[/math] simplify to an expression in the given vectors.[br]The pop-up window shows function f(x), from which the [math]{\small t_k}[/math] can be given as [math]{\small t_0 f(k)}[/math]:

Lots of things are clickable.[br][br][br]Now to reintroduce rotation...[br][br][br]________[br][b]Light > Reflection[/b][br]Prev: [url]http://www.geogebratube.org/material/show/id/128470[/url][br]Next: