Difference between revisions of "Advanced C++ Programming Tutorial 3"
From Chilipedia
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* How to calculate the dot product [https://youtu.be/X9mAhFHvh-4?t=5m54s 5:54] | * How to calculate the dot product [https://youtu.be/X9mAhFHvh-4?t=5m54s 5:54] | ||
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
| − | :* Visual [http://www.falstad.com/dotproduct demo], [https://youtu.be/X9mAhFHvh-4?t= | + | :* Visual [http://www.falstad.com/dotproduct demo], [https://youtu.be/X9mAhFHvh-4?t=7m01s 7:01] |
| + | :* Angular version: a * b = ||a|| * ||b|| cos(theta) [https://youtu.be/X9mAhFHvh-4?t=8m49s 8:49] | ||
| + | :* Vector solution: a_x * b_x + a_y * b_y [https://youtu.be/X9mAhFHvh-4?t=9m36s 9:36] | ||
</div> | </div> | ||
| − | + | * Most common usage: "dot with a unit vector" [https://youtu.be/X9mAhFHvh-4?t=10m51s 10:51] | |
| + | :* Determines how much a vector is going in the direction of the unit vector | ||
| + | </div> | ||
| + | * Calculating the rebound speed vector off an inclined wall [https://youtu.be/X9mAhFHvh-4?t=12m43s 12:43] | ||
| + | * The most common meme in vectors: (v*w^)w^ [https://youtu.be/X9mAhFHvh-4?t=20m04s 20:04] | ||
</div> | </div> | ||
Revision as of 00:34, 5 April 2020
The vector dot product. This saucy little number is gonna turn your world upside down, project it, and other such bullshits. Super powerful math stuff do not missit.
Contents
Topics
Part 1
- Vector dot product
- Collision rebound physics calculation via vector operations
Part 2
- Detecting collision
- Implementing vector collision response (rebound) calculation
Video Timestamp Index
Tutorial 3.1
- Introduction: using the dot product for rigid body physics problems 0:28
- E.g., ball bouncing off a wall (line in 2D) with an arbitrary inclination
- Using vector operations instead of angles & trigonometry
- What is a dot product? 2:52
- Basically: take vectors j and i: how much does a line j go in the direction of i
- If j and i are perpendicular, their dot product is 0
- How to calculate the dot product 5:54
- Most common usage: "dot with a unit vector" 10:51
- Determines how much a vector is going in the direction of the unit vector
- Calculating the rebound speed vector off an inclined wall 12:43
- The most common meme in vectors: (v*w^)w^ 20:04
</div>
Tutorial 3.2
Links
Homework
Fix the funky bug in the collision code.
