1.
Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P below, relative to global XYZ axis system. It is rotated by +30° about X-axis and passes through points (1.5, 1.5, 1.5). Find the final position of the region.
$P = \begin{bmatrix} 1 & 1 & 2 & 1 \\ 2 & 1 & 2 & 1 \\ 2 & 2 & 2 & 1 \\ 1 & 2 & 2 & 1 \end{bmatrix}$
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