# [[Vector]]
![[Vector.svg]]
In general, a vector is an ordered set of values that describe a particular state or object within context. However, a vector can mean slightly different things depending on the use case.
In [[Mathematics]], a vector is an ordered list of numbers that have both a magnitude and a direction. For example, a 2D vector like `[2,4]` on the [[Cartesian Axis]] can refer to a single point that is 2 units to the right and 4 units up. In [[Linear Algebra]], a vector can represent points, directions, or rows/columns in a matrix.
For [[Observability]] [[Database|databases]] like [[Prometheus]] and [[Grafana Loki|Loki]], a vector is a set of [[Time Series]] or values that each have timestamps and [[Labels]]. A vector is a collection of time series, while a time series is a collection of unique data points over time with labels.
In [[Artificial Intelligence|artificial intelligence]], [[Large Language Model|LLM]]s store vectors in [[Vector Database|vector databases]]. In this context, a vector is a list of numbers with multiple dimensions to represent a feature-rich object (like text, image, or audio). The multiple dimensions capture different aspects or contextual information of something that would otherwise be difficult to encapsulate.
## Related
- [[Vectors in Loki]] go into more detail about what vectors are like for Grafana Loki
%%
# Excalidraw Data
## Text Elements
## Drawing
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```
%%