# point_3d

## Source code in `cadwork/__init__.py`

```
class point_3d():
def __init__(self, x: float, y: float, z: float) -> None:
self.x = x
self.y = y
self.z = z
def cross(self, another_point_3d):
"""cross product takes two vectors and produces a third vector that is orthogonal to both
Args:
point_3d (point_3d): a second vector
Returns:
point_3d: a third vector orthogonal to both
"""
def distance(self, another_point_3d) -> float:
"""distance between to points
Args:
point_3d (point_3d): a second point
Returns:
float: distance
"""
def dot(self, another_point_3d) -> float:
"""When calculating the dot product of two unit vectors, the result is always between -1 and +1.
The scalar product of two vectors of given length is thus zero if they are perpendicular to each other, and maximum if they have the same direction.
A negative dot product between two vectors means that the two vectors go in the opposite general direction.
Args:
point_3d (point_3d): a second vector
Returns:
float: value betweend 0.0 and 1.0
"""
def magnitude(self) -> float:
"""magnitude of a vector is the length of the vector.
Returns:
float: vector length
"""
def normalized(self):
"""A normalized vector is a vector with a length equal to one unit.
Returns:
point_3d: normalized vector
"""
def invert(self):
"""Invert point_3d
Returns:
point_3d: inverted point_3d
"""
```

##
`cross(self, another_point_3d)`

cross product takes two vectors and produces a third vector that is orthogonal to both

**Parameters:**

Name | Type | Description | Default |
---|---|---|---|

`point_3d` |
`point_3d` |
a second vector |
required |

**Returns:**

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

`point_3d` |
a third vector orthogonal to both |

## Source code in `cadwork/__init__.py`

```
def cross(self, another_point_3d):
"""cross product takes two vectors and produces a third vector that is orthogonal to both
Args:
point_3d (point_3d): a second vector
Returns:
point_3d: a third vector orthogonal to both
"""
```

##
`distance(self, another_point_3d)`

distance between to points

**Parameters:**

Name | Type | Description | Default |
---|---|---|---|

`point_3d` |
`point_3d` |
a second point |
required |

**Returns:**

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

`float` |
distance |

## Source code in `cadwork/__init__.py`

```
def distance(self, another_point_3d) -> float:
"""distance between to points
Args:
point_3d (point_3d): a second point
Returns:
float: distance
"""
```

##
`dot(self, another_point_3d)`

When calculating the dot product of two unit vectors, the result is always between -1 and +1. The scalar product of two vectors of given length is thus zero if they are perpendicular to each other, and maximum if they have the same direction. A negative dot product between two vectors means that the two vectors go in the opposite general direction.

**Parameters:**

Name | Type | Description | Default |
---|---|---|---|

`point_3d` |
`point_3d` |
a second vector |
required |

**Returns:**

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

`float` |
value betweend 0.0 and 1.0 |

## Source code in `cadwork/__init__.py`

```
def dot(self, another_point_3d) -> float:
"""When calculating the dot product of two unit vectors, the result is always between -1 and +1.
The scalar product of two vectors of given length is thus zero if they are perpendicular to each other, and maximum if they have the same direction.
A negative dot product between two vectors means that the two vectors go in the opposite general direction.
Args:
point_3d (point_3d): a second vector
Returns:
float: value betweend 0.0 and 1.0
"""
```

##
`invert(self)`

Invert point_3d

**Returns:**

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

`point_3d` |
inverted point_3d |

## Source code in `cadwork/__init__.py`

```
def invert(self):
"""Invert point_3d
Returns:
point_3d: inverted point_3d
"""
```

##
`magnitude(self)`

magnitude of a vector is the length of the vector.

**Returns:**

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

`float` |
vector length |

## Source code in `cadwork/__init__.py`

```
def magnitude(self) -> float:
"""magnitude of a vector is the length of the vector.
Returns:
float: vector length
"""
```

##
`normalized(self)`

A normalized vector is a vector with a length equal to one unit.

**Returns:**

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

`point_3d` |
normalized vector |

## Source code in `cadwork/__init__.py`

```
def normalized(self):
"""A normalized vector is a vector with a length equal to one unit.
Returns:
point_3d: normalized vector
"""
```