Cosine Similarity — Colored Vector Lab

Concept Reminder

Each sentence → a vector of word counts
Vectors point in directions
Smaller angle = more similar meaning
Cosine similarity = cos(θ)

Live Python Lab

Sentence 1 Sentence 2 Stopwords

Editable Python Code

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Output

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Vector Angle Graph

Vector A (Sentence 1) Vector B (Sentence 2) Angle θ

How to read this graph:
• The blue arrow represents Sentence 1 as a vector.
• The saffron arrow represents Sentence 2 as a vector.
• The green arc shows the angle (θ) between them.

If the arrows point in nearly the same direction, the angle is small and cosine similarity is high (meanings are similar). If the arrows point in very different directions, the angle is large and cosine similarity is low.