Timeline for Dot product of a randomly orientated vector and a fixed vector

13 events

when toggle format	what		by	license	comment
May 23 at 16:31	comment	added	Achim Krause		Ah sorry, yes, I misread the question.
May 23 at 16:01	vote	accept	CommunityBot
May 23 at 15:19	comment	added	Carlo Beenakker		the OP has not specified what $f$ is, so there is no symmetry one can use; $f$ need not be isotropic on the unit sphere.
May 23 at 15:18	answer	added	Carlo Beenakker		timeline score: 2
May 23 at 14:51	comment	added	Achim Krause		$Zu$ should be uniformly distributed on the unit $2$-sphere for symmetry reasons. Then the scalar product with $v$ projects onto a single coordinate, so you get the uniform distribution on $[-1,1]$ by a fun coincidence (mathoverflow.net/questions/33129/…)
May 23 at 14:15	review	Close votes
Jun 5 at 3:02
May 23 at 12:59	history	edited	Daniele Tampieri	CC BY-SA 4.0	Minor MAth Jaxing
May 23 at 12:35	history	edited	user528399	CC BY-SA 4.0	edited title
May 23 at 12:35	history	edited	user528399	CC BY-SA 4.0	edited title
May 23 at 12:35	history	edited	user528399	CC BY-SA 4.0	edited title
May 23 at 12:19	history	edited	user528399	CC BY-SA 4.0	edited title
S May 23 at 12:18	review	First questions
May 23 at 12:59
S May 23 at 12:18	history	asked	user528399	CC BY-SA 4.0