Problem 2 (30 points) Three coordinate systems (x., y., z.), (X,, y, Z,), (X2, 12, Z2 ), with their origins at the same point, are related in the following way: . (X, , y,, Z, ) is obtained from (x., y., Z. ) by a positive (counter clockwise) rotation of 90' about yo - axis . . (X,, )z, Z,) is obtained from (X,, y, Z, ) by a positive (counter clockwise) rotation of 90 about x - axis . The same vectors components used in the previous problem u, v, w are expressed with respect to frame (X, , )2, Zz) 1- Express each of these three vectors with respect to frame (x, y., z.). 2- Consider the previous problem and comment on your results. Note: Give each rotation matrix that accomplishes these rotations in the given order for each case