Beginning Math and Physics for Game Programmers
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vector product [See cross product] vector reflection 2nd 3rd 4th axis-aligned vector reflection 2nd example 13.1 2nd non-axis-aligned vector reflection 2nd 3rd 4th 5th 6th 7th 8th 9th example 13.2 2nd 3rd example 13.3 2nd vectors [See also direction]2nd 3D vector class 2nd addition 3D numerical addition 2nd commutative law of vector addition graphical addition 2nd 3rd 4th 5th 6th 7th 8th 9th 10th numerical addition 2nd 3rd 4th 5th 6th self-assessment 2nd 3rd 4th Cartesian coordinates 2nd 3rd 4th converting to polar coordinates 2nd 3rd 4th in 3D 2nd self-assessment 2nd cross product 2nd angle between vectors 2nd 3rd 4th example 4.15 perpendicular vectors 2nd 3rd 4th 5th self-assessment 2nd surface normal 2nd 3rd defining 2nd displacement 2nd ***copy first level here*** versus distance 2nd 3rd 4th 5th displacement with 2nd 3rd 4th 5th 6th 2D displacement (example 10.1) 2nd 3D displacement (example 10.2) 2nd dot product 2nd 3rd 4th 5th angle between vectors angle between vectors (example 4.14) 2nd checking object in view (example 4.13) 2nd 3rd perpendicular check 2nd 3rd positive and negative dot product 2nd projection 2nd self-assessment 2nd Matrix Vortex CD-ROM demo 2nd motion with self-assessment 2nd 3rd negative displacement (example 4.2) 2nd normalization notation 2nd polar coordinates 2nd 3rd 4th 5th converting to Cartesian coordinates 2nd 3rd 4th self-assessment 2nd positive displacement (example 4.1) 2nd scalar multiplication 2nd in Cartesian coordinates (example 4.11) in polar coordinates in polar coordinates (example 4.10) 2nd normalizing vectors 2nd 3rd 4th 5th self-assessment 2nd storing in code 2nd subtraction 3D numerical subtraction 2nd 3rd numerical subtraction self-assessment 2nd 3rd 4th transpose (example 5.11) velocity ***copy first level here*** versus scalar values 2nd 3rd 4th 5th self-assessment 2nd velocity 2nd [See also speed]3rd 4th acceleration 2nd 3rd angular acceleration 2nd average acceleration 2nd 3rd 4th average acceleration (example 9.4) 2nd average angular acceleration 2nd 3rd 4th 5th calculating (example 8.5) 2nd deceleration (example 8.6) 2nd graphing average acceleration 2nd 3rd 4th instantaneous acceleration 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th instantaneous angular acceleration self-assessment 2nd 3rd 4th 5th tangential acceleration 2nd 3rd 4th units of measurement vertical motion (example 8.10) 2nd average angular velocity 2nd 3rd example 14.1 2nd average velocity 2nd 3rd 4th 5th 6th 7th 8th 9th between frames (example 8.4) 2nd calculating (example 8.3) 2nd example 9.1 2nd graphing 2nd 3rd 4th in 3D (example 10.3) 2nd constant velocity displacement between frames displacement between frames (example 8.2) 2nd displacement with constant velocity displacement with constant velocity (example 8.1) 2nd equations of motion 2nd 3rd 4th 5th 6th 7th 8th 9th 10th CD-ROM demos 2nd in 2D (example 10.4) 2nd in 3D (example 10.5) 2nd multiple equations example (8.9) 2nd race car examples (8.7 and 8.8) 2nd 3rd self-assessment 2nd instantaneous angular velocity instantaneous velocity 2nd 3rd 4th 5th 6th derivatives 2nd 3rd 4th example 9.2 2nd in frames (example 8.4) 2nd linear velocity versus angular velocity momentum 2nd 3rd 1D calculations (example 13.4) 2nd 3D calculations (example 13.5) 2nd self-assessment 2nd 3rd 4th solutions 2nd tangential velocity 2nd 3rd 4th 5th 6th example 14.4 2nd versus speed versus spped vertex vertex ( parabolas ) 2nd vertical axis of symmetry (parabolas) 2nd vertical components of projectiles 2nd 3rd example 10.6 2nd vertical motion example 8.10 2nd gravity vertically compacting sine wave (example 3.11) 2nd vertically stretching sine wave (example 3.10) 2nd visualization [See CD-ROM demos, graphing]
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