In the usual Euclidean space $\mathbb { R } ^ { 3 }$, show that, for all vectors $u$ and $v$ of $\mathbb { R } ^ { 3 }$ of the same norm, there exists a rotation $r$ such that $r ( u ) = v$.
In the usual Euclidean space $\mathbb { R } ^ { 3 }$, show that, for all vectors $u$ and $v$ of $\mathbb { R } ^ { 3 }$ of the same norm, there exists a rotation $r$ such that $r ( u ) = v$.