Self-Assessment Solutions
Distance Between Points
Parabolas
Circles and Spheres
| | 1. | center = (30,10), radius = 20 | | | 2. | center = (–20,90), radius = 10 | | | 3. | center = (–50,0), radius = 25 |
| | 4. | (x–40)2 + (y+25)2 = 900 | | | 5. | x2 + y2 = 225 | | | 6. | (x+10)2 + (y–40)2 = 1000 |
| | 7. | center = (10,30,50), radius = 40 | | | 8. | center = (0,0,0), radius = 10 | | | 9. | center = (50,0,–40), radius = 1 |
| | 10. | (x–40)2 + (y+25)2 + (z–30)2 = 100 | | | 11. | x2 + y2 + z2 = 484 | | | 12. | (x–10)2 + y2 + (z+60)2 = 3400 |
Applications in Collision Detection
| | 1. | Yes | | | 2. | No | | | 3. | Set up a hierarchy of spheres, and check the smaller ones only if the larger spheres have collided. |
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