`vector`

The vector API provides methods to create and manipulate vectors.

An introduction to vectors can be found on Wikipedia.

new(x, y, z)	Construct a new Vector with the given coordinates.

new(x, y, z)Source

Construct a new Vector with the given coordinates.

Parameters

x number The X coordinate or direction of the vector.
y number The Y coordinate or direction of the vector.
z number The Z coordinate or direction of the vector.

Returns

Vector The constructed vector.

Types

Vector

A 3-dimensional vector, with x, y, and z values.

This is suitable for representing both position and directional vectors.

Vector:add(o)Source

Adds two vectors together.

Parameters

o Vector The second vector to add.

Returns

Vector The resulting vector

Usage

```
v1:add(v2)
```
```
v1 + v2
```

Vector:sub(o)Source

Subtracts one vector from another.

Parameters

o Vector The vector to subtract.

Returns

Vector The resulting vector

Usage

```
v1:sub(v2)
```
```
v1 - v2
```

Vector:mul(m)Source

Multiplies a vector by a scalar value.

Parameters

m number The scalar value to multiply with.

Returns

Vector A vector with value (x * m, y * m, z * m).

Usage

```
v:mul(3)
```
```
v * 3
```

Vector:div(m)Source

Divides a vector by a scalar value.

Parameters

m number The scalar value to divide by.

Returns

Vector A vector with value (x / m, y / m, z / m).

Usage

```
v:div(3)
```
```
v / 3
```

Vector:unm()Source

Negate a vector

Returns

Vector The negated vector.

Usage

```
-v
```

Vector:dot(o)Source

Compute the dot product of two vectors

Parameters

o Vector The second vector to compute the dot product of.

Returns

Vector The dot product of self and o.

Usage

```
v1:dot(v2)
```

Vector:cross(o)Source

Compute the cross product of two vectors

Parameters

o Vector The second vector to compute the cross product of.

Returns

Vector The cross product of self and o.

Usage

```
v1:cross(v2)
```

Vector:length()Source

Get the length (also referred to as magnitude) of this vector.

Returns

number The length of this vector.

Vector:normalize()Source

Divide this vector by its length, producing with the same direction, but of length 1.

Returns

Vector The normalised vector

Usage

```
v:normalize()
```

Vector:round([tolerance])Source

Construct a vector with each dimension rounded to the nearest value.

Parameters

tolerance? number The tolerance that we should round to, defaulting to 1. For instance, a tolerance of 0.5 will round to the nearest 0.5.

Returns

Vector The rounded vector.

Vector:tostring()Source

Convert this vector into a string, for pretty printing.

Returns

string This vector's string representation.

Usage

```
v:tostring()
```
```
tostring(v)
```