HW #1 (Due 9/17/2020) Problem 1: (10 pts) Recall the Euler angles rotation sequence of LIIBd) or 3-2-1. Determine the direction cosine matrix and its singularity for the following sequence of rotations: a) 1-2-3 b) 2-3-1 Problem 2: (10 pts) For innitesimal rotations (i.e. very small angle rotations), i) derive the direction cosine matrix for a) and b) in Problem 1; ii) what can you conclude from i)