I have a series of vector directions and I need to find the "average" direction. I am not looking for the overall direction which would be the sum of the directions and this can't be used in cases where the vectors all cancel out.
I know of spherical linear interpolation but its not really practical when I have to do this for a large set of vectors.
EDIT: I misinterpreted my problem and so here is the updated version, sorry for any inconvenience.
What I have is a set of directions and one of the directions is selected as "leading" (shown as the red line) direction and then I need to find the average direction produced by the remaining vectors (the black ones) and it seems by drawing it out I have figured out one way of how I can do it.
However, Rahul's comment about means of circular quantities does seem to be a much better method which I will be looking into.
The dashed red vector is meant to be the opposite of the red vector.