Practice question · Sort into groups
Sort these into 2D or 3D vector concepts.
Groups: 2D only · Both 2D and 3D
- Angle between two vectors from
- Dot product u
- Rotation by angle in the plane
- Signed area via determinant |u v|
- Unit vector
Hints
- Ask whether the operation still makes sense in any number of dimensions.
- One product is defined only in three dimensions.
Show the answer
2D only: Rotation by angle in the plane, Signed area via determinant |u v|
Both 2D and 3D: Angle between two vectors from , Dot product u , Unit vector
Why
Most vector operations generalise to any dimension; some are dimension-specific.
Practise Vectors in 2D and 3D
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