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22 lines
1.0 KiB
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22 lines
1.0 KiB
Markdown
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# edu-mlut
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title: §1 What Is a Vector?
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status: scrapped
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type: task
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priority: normal
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created_at: 2026-03-10T23:30:00Z
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updated_at: 2026-03-10T23:30:00Z
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---
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## §1 What Is a Vector? — ALREADY COMPLETE
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This section is fully written in `edu/src/vector-db.md` under `### 1. What Is a Vector?`. No further content work is needed. Mark this ticket done.
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## What was written
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- Definition: a vector is an ordered list of numbers; each element is a coordinate along one axis of a space
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- Geometric intuition in 2D and 3D: magnitude (`‖v‖ = √(Σ vᵢ²)`), direction, orthogonality via dot product
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- High-dimensional spaces: the curse of dimensionality, normalisation onto the unit hypersphere, dimensions are not individually interpretable features
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- Vectors as representations: the key insight that similarity in meaning corresponds to proximity in vector space — the basis of everything that follows
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- Notation used throughout the course: **v**, `v[i]`, `‖v‖`, *d* for dimension, *n* for number of stored vectors
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