1. Derive the following equations for transforming a coordinate point P = (x, )/ in one Cartesian system to the coordinate values (x', y') in another Cartesian system that is rotated by an angle 0, as in Project point P onto each of the four axes and  the resulting right triangles.

2. Write a procedure to compute the elements of the matrix for transforming object descriptions from one Cartesian coordinate system to another. The second coordinate system is to be defined with an origin point P0 and a vector V that gives the direction for the positive y' axis of this system.