Draw a sketch to show how F transforms a vector (x, y ). It turns out th a related group, O(2), consisting of orthogonal matrices with determinan can't be obtained by applying a series of infinitesimal transformations a Part 2: Rotations in 3 dimensions The study of rotations in 3 dimensions is very similar to the 2- dimensional case 1. There are two additional features, though: the rotation group SO(3) is n this already in Discussion 5 last week), and there are three generators, not j are related and make the analysis a bit more complicated, but bear with it: stu help us better understand Lorentz transformations next week