CALCULATOR
2D Cosine Similarity of Two Nonzero Vectors Calculator
2D Cosine Similarity of Two Nonzero Vectors. Example: A x: 3 number, A y: 4 number, B x: 4 number, B y: 3 number gives 0.96 number. Exactly two2D dimensionless Cartesian vectors; both x components≥.1 guarantee nonzero. Numerical score only, not semantic embedding, similarity recommendation or calibrated probability. Only this original stated job is proposed, not full historical source coverage. I
Exactly two2D dimensionless Cartesian vectors; both x components≥.1 guarantee nonzero. Numerical score only, not semantic embedding, similarity recommendation or calibrated probability. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: The Euclidean dot product equals the product of vector lengths and cosine of their angle.
Accepted inputs: A x: 0.1 to 1,000 number; A y: -1,000 to 1,000 number; B x: 0.1 to 1,000 number; B y: -1,000 to 1,000 number.
How the calculation works
similarity=(a·b)/(|a||b|)
Worked example
With a x 3 number, a y 4 number, b x 4 number, b y 3 number, 2d cosine similarity of two nonzero vectors is 0.96 number.
Assumptions and limits
Exactly two2D dimensionless Cartesian vectors; both x components≥.1 guarantee nonzero. Numerical score only, not semantic embedding, similarity recommendation or calibrated probability. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: The Euclidean dot product equals the product of vector lengths and cosine of their angle.