AE 321 Homework 2 Due in class on September 13 1. Find the rotation matrix [R] of direction cosines to transform: (a) 30° counter clockwise around axis x3, (b) 45° clockwise about x3, followed by 60° counterclockwise about ′ x 12. Let GA =2Ge 1+4Ge 2+2Ge 3. Find the components of GA after performing a counter clockwise rotation of 45° around the x2axis. What is the magnitude of GA in each case? 3. Quantities a, uand Ware a scalar, vector and two tensor field respectively (i.e. they are functions of position x1, x2, x3). Prove the following identities using indicial notation:
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