Vector

Direction with magnitude: the line along which force is applied, and the reason effort is not the same thing as progress.

Vector, force and aim are the other terms of the Work equation. The aim is what is being moved toward; the force is what is applied; the vector is the direction of the application. Two bodies may spend identical energy and produce opposite results, because energy is a quantity and a vector has a heading. This is why the first question of any activity is not how much but toward what.

It is load-bearing because it makes misdirection visible as a distinct failure. A body can be diligent, disciplined and busy, and still be pointed wrong; no amount of effort corrects a heading. The compass question — does this make life a little more like Heaven? — is a vector test, asked before the force is spent rather than after. And the canon names the vector toward the Goal the critical path, which places direction, not speed, at the centre of how a whole civilisation's work is judged.

At the scale of a plan the vector is what every activity is checked against: what does this serve, up through the milestones to the Goal. Where headings differ between bodies, the work is to align them rather than to compel one; sovereign bodies aligned on a vector amplify each other, and the same bodies pulling on different headings cancel — which is most of what waste actually is.

Also called: Force · Aim Stands on: Work · The Goal Opens onto: Critical Path · Throughput · Stacking Up And Aligning · The plan of the whole In play: table · beyond Sources: The LIØNSBERG Lexicon (Work In Progress) §The System, lines 66–67, which name Vector, Force and Aim and call the Vector toward The Goal the Critical Path — lionsberg.wiki page name: Vector Open: The Lexicon names the term inside the Work equation and no page elaborates it; the reading above is a synthesis.