# rotation distributes over addition

- Author:
- Andrew Cooper

A demonstration that rotation distributes across vector addition.
You can move the vectors and by clicking the blue dots at their heads. .
The vector labeled is the rotation of by T degrees. The vector labeled is the rotation of by T degrees. . is the angle between and ; observe that is always the same as T. This shows that could also be obtained as .
The matrix that carries out this rotation is displayed as m.