Which Candidate Is Retrieved First? — medium Vector Operations & Similarity problem | Incognition

Which Candidate Is Retrieved First?

20 pts · 20 coins

Vector Operations & SimilarityMedium

Which Candidate Is Retrieved First?

A search system embeds every word as a 3-dimensional vector. The query embedding is

$\vec q = (1,\, 2,\, 2)$

and four candidate words are stored:

candidate	embedding
$\vec v_1$	$(9,\, 6,\, 2)$
$\vec v_2$	$(0,\, 3,\, 4)$
$\vec v_3$	$(2,\, 2,\, 1)$
$\vec v_4$	$(3,\, 1,\, 1)$

The system ranks candidates by cosine similarity to the query and returns the top one.

Which candidate is returned first?

Hints

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