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1answer
18 views

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 ...
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3answers
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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1answer
114 views

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. ...
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1answer
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. ...
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1answer
788 views

How to calculate rotation angle to get a set distance between two vector end points

The situation: In 3D space there are two vectors (A, B) of equal length L, but with different directions. The beginning points of these vectors are located at a distance of L as well. They could be ...
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0answers
300 views

Rotate an angle-axis represented rotation?

Okay, I am a programmer, and I am working on some procedural generation, yada yada. I have a cube, which I will refer to as the "object". This cube's rotation is depicted via a grouping of two ...