Algebraic Measure
Real number that expresses the distance between two points A and B of a directed line.
Therefore, an algebraic measure is a number with a sign. The sign indicates the direction in which the displacement occurs; a positive sign indicates a displacement from A to B and a negative sign indicates a displacement from B to A.
Examples
Consider the points A and B on a directed line.
- The algebraic measure of the set of two points (A, B) is the real number k such that m(A, B) = [latex]k \overrightarrow {u}[/latex], where [latex]\overrightarrow {u}[/latex] is a unit vector.
- If m(A, B) = 10, then m(B, A) = −10.