Points & Co-ordinate Systems

1. What does the point (3,4) represent in a 2D coordinate system?
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2. How are three-dimensional points represented in a coordinate system?
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3. What happens when you modify the homogeneous coordinate (x, y, z, w) by changing the value of w?
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4. What is the purpose of homogenizing coordinates in computer graphics?
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5. What is the significance of modifying the origin and axis directions in a coordinate system?
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