# Function intersect #

Calculates the point of intersection of two lines in two or three dimensions and of a line and a plane in three dimensions. The inputs are in the form of arrays or 1 dimensional matrices. The line intersection functions return null if the lines do not meet.

Note: Fill the plane coefficients as `x + y + z = c`

and not as `x + y + z + c = 0`

.

## Syntax #

```
math.intersect(endPoint1Line1, endPoint2Line1, endPoint1Line2, endPoint2Line2)
math.intersect(endPoint1, endPoint2, planeCoefficients)
```

### Parameters #

Parameter | Type | Description |
---|---|---|

`w` |
Array | Matrix | Co-ordinates of first end-point of first line |

`x` |
Array | Matrix | Co-ordinates of second end-point of first line |

`y` |
Array | Matrix | Co-ordinates of first end-point of second line OR Co-efficients of the plane’s equation |

`z` |
Array | Matrix | Co-ordinates of second end-point of second line OR null if the calculation is for line and plane |

### Returns #

Type | Description |
---|---|

Array | Returns the point of intersection of lines/lines-planes |

## Examples #

```
math.intersect([0, 0], [10, 10], [10, 0], [0, 10]) // Returns [5, 5]
math.intersect([0, 0, 0], [10, 10, 0], [10, 0, 0], [0, 10, 0]) // Returns [5, 5, 0]
math.intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6]) // Returns [7, -4, 3]
```