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

[brru25]

Is it possible for m = n+1 if there exists u₁, ..., u_m in Rⁿ such that the distance between u_i and u_j is 1 for any 1 <= i < j <= n?

 

[lanedance]

have a think about the vectors (1,0) & (2,0)

of course things might be different if your vectors u_i were of a set length, say 1