3D Vectors
3D
What's a Vector
This is how we'll show vectors.
Normal Vector
Normal vectors.
Vector Operations
Vector Operation: Addition
Vectors add head-to-tail.
Vector Operation: Scaling
Vector Operation: Similarity of Direction
Dot product.
More dot product.
Vector Operation: Cross Product
Cross product.
Special Vectors
Unit Vector
3D Transforms
Why 3D Transforms?
What's a Coordinate Space?
Look, Just Four Vectors!
A 3D coordinate space.
One space defined within another.
Look, a 3D Transform!
Plotting a point in a 3D space.
Transforming a Point
Transforming a Vector
Merging Transforms
Nested transforms.
Merged into one transform.
Unnatural Acts
Object in original position.
Displacement.
Displacement and scaling.
Displacement and non-uniform scaling.
Displacement and Rotation.
Displacement and Skewing.