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Norm, Normalize and column vectors

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  • Subject: [mg126388] Norm, Normalize and column vectors
  • From: Brentt <brenttnewman at>
  • Date: Sun, 6 May 2012 03:24:13 -0400 (EDT)
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Why does Norm work with column vectors, but Normalize does not?

In[1]:= Norm[{{1}, {2}, {3}}]

Out[1]= Sqrt[14]


In[2]:=Normalize[{{1}, {2}, {3}}]

Throws red

It even says in the documentation that Normalize[v] essentially returns

Times[Power[Norm[v],-1],v],   except returning the 0 vector for the 0
Strangely, the above "equivalent" expression would handle all but th 0
column vector with aplomb.

I find this curious. Is there a good explanation for this?

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