Question

In: Computer Science

Show how Rotation Matrix R transforms vectors to vectors

Show how Rotation Matrix R transforms vectors to vectors

Solutions

Expert Solution

-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


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