> For the complete documentation index, see [llms.txt](https://docs.autowall.fun/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.autowall.fun/documentation/vars/vector.md).

# Vector

## <i class="fa-draw-polygon">:draw-polygon:</i> Vector

`vector(x, y, z)` is a plain Lua table with a metatable (defined in the Lua-side prelude that's injected into every script before it runs) — not a C userdata. Field access (`v.x`) and all methods below work as documented.

```lua
local a = vector(1, 2, 3)
local b = vector(4, 5, 6)

a.x, a.y, a.z         -- direct field access

a:clone()             -- new vector, same values
a:unpack()             -- x, y, z
a:init(7, 8, 9)        -- mutate in place

a:length()             -- number
a:length_sqr()         -- number, cheaper (no sqrt)
a:dist(b)              -- number
a:dist_to(b)           -- alias of :dist()
a:normalize()          -- new unit-length vector (returns vector(0,0,0) if length is 0)
a:dot(b)               -- number
a:cross(b)             -- new vector
a:lerp(b, 0.5)         -- new vector, linear interpolation

a + b                  -- vector
a - b                  -- vector
a * 2                  -- vector (scalar only, either operand order)
a == b                  -- componentwise equality
tostring(a)             -- "vector(1.000, 2.000, 3.000)"
```

{% hint style="warning" %}
`vector * vector` is **not** defined — use `:dot()` or `:cross()` explicitly; it raises a Lua error if you try.
{% endhint %}

#### Where you get vectors from

`entity.get_origin(player)` and the `origin` field on `entity.get_players()` entries return real `vector` objects (see Entity) — they're not a separate type, so all the methods above work on them directly.


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