# Tagged Questions

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### Rotating vector functions

Suppose you have a vector function of space: $\vec{E}(x,y,z)=Ex(x,y,z)\hat{x}+Ey(x,y,z)\hat{y}+Ez(x,y,z)\hat{z}$. Suppose now you want to rotate the whole vector function by using a unitary rotation ...
132 views

### What is the mathematical nature of a rotation matrix?

I have a naive question: what is the mathematical nature of a rotation matrix? Is a rotation matrix a tensor ? EDIT: if a rotation matrix is fundamentally a tensor, what is its (n, m) notation?
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### find rotation needed to minimize distance of pairs of vectors

Given two sets of vectors, how can I find the rotation needed to rotate one set onto the other? The sets are ordered and of same size, with vector n from set 1 corresponding to vector n from set 2. ...
1k views

### Finding the rotation angles of an plane

I have the following question: First I have a global coordinate system x y and z. Second I have a plane defined somewhere in this coordinate system, I also have the normal vector of this plane. ...