Words as Vectors

The Vector Plot

The coordinate plot draws each word vector as an arrow from the origin. It is another view of the same assigned exact vector table and the same alignment geometry.

highlighted = computed this step

The vector plot

The plot draws each word as an arrow from the origin to its exact coordinate. The endpoint markers are tied to the same displayed vector map, so the visual geometry cannot drift away from the table.

(0,0)→word vector(0,0)\rightarrow\text{word vector}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)

Reading the geometry

Cat and kitten point in nearby directions, while car points more upward in this toy coordinate system. That visual alignment is the same relationship the dot table scores: it comes from assigned coordinates, not from an external meaning source.

geometry from assigned coordinates\text{geometry from assigned coordinates}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)

Summary

The plot helps inspect the same integer coordinates used by the table. The final lesson states the boundary around these assigned vectors and separates geometric mechanics from semantic claims.

plot and table share one vector lock\text{plot and table share one vector lock}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)