Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P = \(\begin{bmatrix}1 & 1 & 2 & 1\\ 2 & 1 & 2 & 1\\ 2 & 2 & 2 & 1\\ 1 & 2 & 2 & 1\end{bmatrix}\), relative to global XYZ axis system. It is rotated by +30⁰ about X-axis and passes through points (1.5, 1.5, 1.5).find the final position of the region.