mind game Messages 2 Reaction score 0 Thread starter Oct 2, 2005 #1 what constraints must the elements of three dimensional rotation matrix satisfy in order to preserve length of vector A
what constraints must the elements of three dimensional rotation matrix satisfy in order to preserve length of vector A
robphy Science Advisor Homework Helper Insights Author Gold Member Messages 7,530 Reaction score 3,056 Oct 2, 2005 #2 Here's a start: your question expressed symbolically... [tex]{\vec A'}^\top\vec A'=(R\vec A)^\top(R\vec A)=\vec A^\top\vec A[/tex] So, what must [tex]R[/tex] satisfy? Can you do matrix algebra?
Here's a start: your question expressed symbolically... [tex]{\vec A'}^\top\vec A'=(R\vec A)^\top(R\vec A)=\vec A^\top\vec A[/tex] So, what must [tex]R[/tex] satisfy? Can you do matrix algebra?