Can M = N+1 if Distance Between Two Vectors = 1

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Is it possible for m = n+1 if there exists u1, ..., um in Rn such that the distance between ui and uj is 1 for any 1 <= i < j <= n?
 
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have a think about the vectors (1,0) & (2,0)

of course things might be differnt if your vectors ui were of a set length, say 1
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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