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# Spatial Operations  
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Vector operations, coordinate transformations, rotations, translations, and spatial geometry functions.
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## Capabilities
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### Vector Operations
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Functions for creating and manipulating 3D vectors and spatial data.
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```python { .api }
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def vector(value, *, unit=None):
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    """Create a scalar 3D vector variable"""
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def vectors(dims, values, *, unit=None):
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    """Create array of 3D vectors"""
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def as_vectors(x, y, z):
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    """Combine components into vectors"""
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def norm(x):
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    """L2 norm of vectors"""
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def dot(x, y):
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    """Dot product of vectors"""
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def cross(x, y):
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    """Cross product of 3D vectors"""
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```
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### Spatial Transformations
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Functions for spatial coordinate transformations including rotations and translations.
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```python { .api }
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def rotation(*, value):
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    """Create rotation from quaternion"""
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def rotations(*, dims, values):
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    """Create rotation array"""
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def translation(*, value, unit=None):
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    """Create translation transformation"""
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def translations(*, dims, values, unit=None):
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    """Create translation array"""
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def linear_transform(*, value, unit=None):
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    """Create linear transformation"""
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def affine_transform(*, value, unit=None):
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    """Create affine transformation"""
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def inv(x):
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    """Inverse transformation"""
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```