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2. A rotation around an axis w for angle...
2. A rotation around an axis w for angle θ, denoted by Roto(0), leaves the axis unchanged. That is, Rota,(9) . w = a. Using this fact, write the coordinate rotation matrices Rot, (0), Roty (0) and Rot (0) that represent the rotation for an angle θ around x, y and z axes, respectively. Hint: For a linear map, the matrix describing the map has the columns equal to the maps of the coordinate basis vectors. 3. What point do you get if you rotate the point p- 2 7 5around the z axis for 105°? 4. A rotational matrix between frames A and B is given by: -0.3075 0.0478-0.9503 Rab =1 0.7890 0.5711-0.2266 0.5319-0.8195 -0.2134 A point q is described in the frame A by a vector qa of q in the frame B | 6 1-1 . What is the description