5.6 Vector Dot Product (Scalar Projection) - The Nature of Code

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Published on October 13, 2021 3:43:18 PM ● Video Link: https://www.youtube.com/watch?v=DHPfoqiE4yQ

Duration: 13:41

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This video covers the dot product and scalar projection with p5.js and vectors, concepts that I’ll need for finding the distance between a point and a line which will lead to the path following steering behavior in the next video! Code: https://thecodingtrain.com/tracks/the-nature-of-code-2/noc/5-autonomous-agents/6-scalar-projection

p5.js Web Editor Sketches:
🕹️ Angle Between: https://editor.p5js.org/codingtrain/sketches/ORP5Yx7JX
🕹️ Scalar Projection: https://editor.p5js.org/codingtrain/sketches/c4jmHLFQI

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References:
🔗 Path Following: https://editor.p5js.org/natureofcode/sketches/SkMI894DX
🔗 Steering Behaviors for Autonomous Characters: http://www.red3d.com/cwr/steer/
🔗 Scalar Projection: https://en.wikipedia.org/wiki/Scalar_projection
🔗 Vector Projection: https://en.wikipedia.org/wiki/Vector_projection

Videos:
🎥 3D Rendering with Rotation and Projection: https://youtu.be/p4Iz0XJY-Qk
🎥 Unit Vector (Normalize): https://youtu.be/ttz05d8DSOs
🎥 Dot products and duality: https://youtu.be/LyGKycYT2v0

Timestamps:
0:00 Welcome! What are we looking at today?
1:01 What is scalar projection?
3:04 How do we use dot product to find the scalar projection?
6:13 Let's create a scalarProjection() function.
8:01 Modifying the function to be vectorProjection().
9:42 How is this useful for path following?
11:39 Let's see if it works for finding a point on a path?
13:04 Thanks for watching! See you in the next video about path following.

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

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