Random unit vectors in R^{n}

There is a note by George Marsaglia in Annals of mathematical statistics
(1972) (p. 645-646), which talks about faster ways of picking points
uniformly from the surface of a unit sphere.  However, his algorithms are
limited to 3 and 4 dimensions.  I am not sure if there are similar
algorithms for any general "n".  For larger "n", it seems that the method
suggested by Tom Lumley, using "n"  N(0,1) deviates, is the best approach.

Ravi.

-----Original Message-----
From: Richards, Tom <richards at upci.pitt.edu>
To: R-Help (E-mail) <r-help at stat.math.ethz.ch>
Date: Monday, August 26, 2002 8:31 PM
Subject: [R] Random unit vectors in R^{n}

Hello:

Can you tell me if there's a simple way to generate in R random
vectors on the unit sphere in R^{n}?  Additionally, are there references

for

this question?  Thanks in advance.

Tom
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