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Say I have a plane described by a two vectors $\vec{v}_1 = \langle1,1,1,1,1 \rangle$ and $\vec{v}_2 = \langle8,1,5,3,2 \rangle$. Is it correct to say that this plane is an embedding of $\mathbb{R}^2$ in $\mathbb{R}^5$?

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    $\begingroup$ Yes, it is correct to say that. $\endgroup$ – Gerry Myerson May 7 at 13:20
  • $\begingroup$ Great, thanks. Put it as an answer and I can accept it $\endgroup$ – Michael Stachowsky May 7 at 13:23
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Yes, it is correct to say that that plane is an embedding of ${\bf R}^2$ in ${\bf R}^5$.

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