summon arrow pointing in direction you are looking

I'm trying to summon an arrow that is shooting and pointing in the direction you are looking. I already did the shooting with the following tutorial:
https://www.reddit.com/r/MinecraftCommands/wiki/questions/shootfacing/
Problem is: the direction the arrow is pointing when its getting summoned is always the same (horizontal pointing south) and whatever i try to do (e.g. 'execute facing', 'execute rotated' and modify the rotation data of the arrow) it doesn't work (when modifying the rotation data i 1.: don't know how to do it automatically and 2.: i tested with a stationary arrow and it just flipped to the rotation i gave it and then back to horizontal south).
Does anyone know how to do it?