$3$D Viewing:

$($Programming problem$)$ Consider the same L shaped object of Problem $1.$ Do the following

operations to view this prismatic object $($Matlab$/$C$++/$Python$)$:

Place camera center at $(0,0,-10),$ the look at point of the $L$ shaped object is at $(2\mathrm{.}5,3,1\mathrm{.}5)$

and the Upvector is given by $(0,1,0).$ Show how the object looks after this viewing

transformation is performed. Show your manual calculations to derive the entries of the

overall transformation matrix. Submit your code and a plot showing the view of the object.

$($A$)$ Perform orthographic projection of the prismatic object on $x-Y$ plane using orthographic

transformation and show the object.

$($B$)$ Perform perspective division to get the normalized device coordinates and then perform a

window to viewport transformation of the orthographic view obtained in Problem $($A$)$ above

to display the object in the viewport defined by Figure $2B.$ The size of the window depends

on the screen resolution of your computer.

$(0,0)$

Note: Figure is not to the scale

Figure $2$B

NOTE: Problem $1$ and $2$ are independent of each other and should be done separately.