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Game theory

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1. in the diagram below, an arrow object is located at point C; P is an arbitrary point in space.

a) How would you generate a transformation matrix that would point the arrow object at point P?
The arrow object is defined in a Left Handed System with the following
Points :( 0, 0, 1), (2, 0, 1), (2, -1, 1), (3, 1, 1), (2, 3, 1), (2, 2, 1), (0, 2, 1)

b) Apply the following transformation matrix to the original points.

Describe in words, what this transformation matrix does.
c) Why should the order of the points above matter?

d) What is the effect of applying a perspective matrix to points who's Z
Coordinates are less than zero?

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Solution Preview

Please see the attached file.

In the diagram below, an arrow object is located at point C; P is an arbitrary point in space.

a) How would you generate a transformation matrix that would point the arrow object at point P?
The arrow object is defined in a Left Handed System with the following
Points: (0, 0, 1), (2, 0, 1), (2, -1, 1), ...

Solution Summary

The solution looks at perspective and transformational matrices.

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