How to create random vectors of the same lengths?

I am trying to get a random vector (2D) of the same length, say 'x'.

I thought about creating a list of numbers -1 to 1 for x values and then another one for from 1 to -1 for y values, and then randomly picking two numbers from the list, but this would give me vectors of all lengths and I don't know how to normalize them. I had all sorts of other ideas but none of them seem to be of much use.

Absolutely any help is greatly appreciated!

[Mark]

This is where I am now at, for 200 numbers between -1 and +1

>> N=200;

>> min=-1;

>> max=+1;

>> range=max-min;

>> a=range*rand(N,2).*sign(rand(N,2))-range/2;

Answer 1

[Kevin Holst]

from the documentation: Examples

Generate values from the uniform distribution on the interval [a, b].

 r = a + (b-a).*rand(100,1);

in your case you'd want:

 a = min + (max-min).*rand(N,2);