>>7613679Correcto, here's the way I thought about it when I made the question:
(vector of path) * (vector of payout for path followed)
(distance traversed x, distance traversed y) * (payout x, payout y)
We want to find out the former vector, insert variables:
(a,b) * (1,3)
Cos rule so that equals:
mag(a,b) * mag (1,3) * cos(angle between both vectors)
Travels 1km so:
1*root10*cos(angle)
Now we ask:
How many angles apart from the payout vector should our path vector be To maximize the above expression (that is our score)?
Answer is zero, ergo payout vector should be in the same direction as our path vector (since cos is max at 0 degrees).
So, they should both be in the same direction.
So fire in the direction of the payout vector (1,3).
