Interchanging vectors coordinates

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Is there any relation between two vectors with interchanging coordinates .. i.e: the x component of the first is the y component of the second and vice versa.

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You can do a matrix multiplication:

$$\begin{pmatrix}0 &1\\ 1&0\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}y\\x\end{pmatrix}$$