I'm not sure if this is the right forum to post this as my question stems from my numerical analysis project, but seems to be geometrical. Anyway, here goes:
Say I have 2 vectors where their values (X, Y, Z) and (A, B, C) are uniformly randomly generated. What is the process that I would use to find the Greatest Possible Angle between the two vectors? I can find the angle for two vectors, but given that their values are randomly generated, figuring out what their largest POSSIBLE value could be is throwing me.
Thank you in advance!!
By that I mean, let's say I use a basic random uniform number generator in a computer. I use this number generator to create two 3-tuples. What I want to do is try to find the largest angle possible (inner product) between the two vectors, but the random nature is throwing me... I'm not sure what approach to take.
Additional Note: these are not Euclidian vectors - let's say, for the sake of this, that we have a 3 dimension vector space. But I could change this problem to be two 4-tuples in 4 dimensional vector space or 2 5-tuple vectors in 5 dimensional, etc etc
Does this make it more clear? I'm not sure I am using all of the terms correctly