Return on Investment: https://en.wikipedia.org/wiki/Return_on_investment
From https://en.wikipedia.org/wiki/Vector_(mathematics_and_physic... :
> A Euclidean vector is thus an equivalence class of directed segments with the same magnitude (e.g., the length of the line segment (A, B)) and same direction (e.g., the direction from A to B).[3] In physics, Euclidean vectors are used to represent physical quantities that have both magnitude and direction, but are not located at a specific place, in contrast to scalars, which have no direction.[4] For example, velocity, forces and acceleration are represented by vectors
Quantitatively and Qualitatively quantify the direct and external benefits of {college, other alternatives} with criteria in additional to real monetary ROI?
From https://en.wikipedia.org/wiki/Welfare_economics
> Welfare economics also provides the theoretical foundations for particular instruments of public economics, including cost–benefit analysis,