Hm for me interactive visualizations are more illuminating: https://www.falstad.com/dotproduct/ https://www.falstad.com/dotproduct/ https://wordsandbuttons.on

Hm for me interactive visualizations are more illuminating: https://www.falstad.com/dotproduct/ https://www.falstad.com/dotproduct/ https://wordsandbuttons.online/interactive_mnemonics_for_dot_and_cross_vector_products.html https://wordsandbuttons.online/interactive_mnemonics_for_dot... In essence then, not as confusing to the beginner who might even know what a dot product 'is' operationally but not what it 'does'. So level 1 'it's just a normalized dot product', level 2 more immediately intuitive: 'is arrow 1 pointing in the same direction as arrow 2?' or 'how close is arrow 1's direction to arrow 2's direction?' Now what's left after that is 'Why is it so? Why did we decide on this in embeddings?'