Norm, Normalize and column vectors

*To*: mathgroup at smc.vnet.net*Subject*: [mg126388] Norm, Normalize and column vectors*From*: Brentt <brenttnewman at gmail.com>*Date*: Sun, 6 May 2012 03:24:13 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Why does Norm work with column vectors, but Normalize does not? e.g.. In[1]:= Norm[{{1}, {2}, {3}}] Out[1]= Sqrt[14] But 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 vector. 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?

**Follow-Ups**:**Re: Norm, Normalize and column vectors***From:*Brentt <brenttnewman@gmail.com>

**Re: Norm, Normalize and column vectors***From:*Murray Eisenberg <murray@math.umass.edu>