
a.
Planer Patch:
The patch formed by joining points in the plane is called planer patch.
Planar patch for given question:
Explanation:
From the above diagram, the planer patch is parallel to “yz” plane. The points are viewed from outside of the object. So, the left most portion of the patch lies inside.
Explanation of Solution
b.
Determine a ray of light originating at the point (2, 0, 0):
The 3D plot of the patch with the point (2, 0, 0) is shown below:
Explanation of Solution
c.
Determine a ray of light originating at the point (2, 1, 1):
The 3D plot of the patch with the point (2, 1, 1) is shown below:
Explanation of Solution
d.
Determine a ray of light originating at the point (3, 2, 1):
The 3D plot of the patch with the point (3, 2, 1) is shown below:

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