Consider the gibbs vector defined as where g = (g 1.8283), e = (el, e2. e3) is euler's eigenaxis vector, and θ is the angle associated with euler's eigenaxis rotation. (a) show that the kinematic differential equation for the gibbs vector can be found as gi 82 | =う! g281 83 1+ 8182-83 g183+82][en 83 88283-8i«i 83 8 8382g 18 on or where 0 -83 82 0 81 82 8 0 (b) also show that for infinitesimal rotations, we have