Advanced C++ Programming Tutorial 3

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.

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

• Visual demo, 5:54

Links

• GitHub Repo (advmath)

Homework

Fix the funky bug in the collision code.

• Solution Video

See also

• Next in series (Tutorial 4)
• Advanced C++ Programming Series
• Planet Chili Patreon