Distance Between Points | | | | 1. | b = 18 | | | | | 2. | No | | | | | 3. | 130 | | | | | 4. | | | | | | 5. | (90,105) | | | | | 6. | (60,85,25) | Parabolas | | | | 1. | (4,7) | | | | | 2. | (1,5) | | | | | 3. | ( “3,2) | | | | | 4. | ( “12,0) | | | | | 5. | ( “1,0) | | | | | 6. | The answer is shown in Figure 2.17. Figure 2.17. y = 10(x “1) 2 + 3. | | | | | 7. | The answer is shown in Figure 2.18. Figure 2.18. x = y 2 “2. | 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. | x 2 + y 2 = 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. | x 2 + y 2 + z 2 = 484 | | | | | 12. | ( x “10) 2 + y 2 + ( 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. | |