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!!

Damen