In: Computer Science
Show how Rotation Matrix R transforms vectors to vectors
-Rotating vector about any of the axis is vector rotation.
- Here the rotation matrix R is rotated from vector v1 to vector V2 by an angle f.
From the geometric relationship, we know that
Since
-------------(1)
Where r=length of vector and a=angle v1 within the X axis. Expanding equation (1) to 3 Dimension
From above equations, we can conclude that