Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P = bmatrix1 & 1 & 2 & 1\\ 2 & 1 & 2 & 1\\ 2 & 2 & 2 & 1\\ 1 & 2 & 2 & 1 bmatrix ,…

Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P = $\left[\begin{array}{cccc}1& 1& 2& 1\\ 2& 1& 2& 1\\ 2& 2& 2& 1\\ 1& 2& 2& 1\end{array}\right]$, relative to global XYZ axis system. It is rotated by +30^0 about X-axis and passes through points (1.5, 1.5, 1.5).find the final position of the region.