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"It's probably one of the nicest videos on the playlist." You have never seen the dot product and its geometric interpretation like this. Using a real problem from the field of gaming programming, we derive the geometric interpretation of the dot product and try to understand its meaning first on unit vectors before we finally aim for a generalization to arbitrary vectors.
This video shows that both formulas are equivalent:
• Herleitung des Skalarp...
This Video is the fourth part of my playlist about vector calculation:
• Rechnen mit Vektoren
00:00 Intro
00:58 Volume in a game
03:51 Projection vector and preview
04:35 Dot Product with unit vectors
07:30 Angle Dependency
08:55 Generalization
12:00 Dot Product with itself
12:45 Open questions
13:45 Representation in 3D
14:23 Outro