ARBITARY DIRECTION IS A RANDOM DIRECTION FOR PHYSICS.....BUT WE SAY NOTHING IS WITH OUT CAUSE ..ESPECIALLY IN SCIENCE....IT IS ( THE MOTION) FOR THEIR ATOMIC CONFIGURATION......WHICH IS NORMALLY SUBMITED AS RANDOM DIRECTION IN MECHANICS.
AS AN EXAMPLE WE CAN SAY A NULL VECTOR HAS AN ARBITARY DIRECTION WITH ZERO MAGNITIUDE.