Vectors Represent Movement

At its most basic level, a vector can be imagined as an arrow, beginning at the origin of a grid, and ending at a set of x,y coordinates.

The arrow below would be $[-2,3]$.

But, in linear algebra, vectors are described in vertical format like this:

$\left[\begin{array}{c}-2\\ 3\end{array}\right]$

This allows mathematicians to distinguish them from points (or coordinates ), which brings us to an important understanding. Vectors, represent movement, or the instruction of movement, whereas a point is a location.

This concept can be extrapolated to the third dimension by adding a Z axis, and representing the vector with 3 digits.

It is also important to understand that logically, vectors are unique. Since they exist on a 2-D grid, or 3-dimensional grid, representing every place on the grid can only be done by one vector.

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Connections

The Layers of AI

Link Explanation: The linked note describes the different technology layers of AI and where value might accrue. While this is not directly related. My elementary understanding of neural networks is that they are fundamentally built on a network of vectors.

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Reference

https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab