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for some vectors <math>\mathbf{u}, \mathbf{v} \in V.</math>
▲Equivalently, a line segment is the [[convex hull]] of two points. Thus, the line segment can be expressed as a [[convex combination]] of the segment's two end points.
In [[geometry]], one might define point {{mvar|B}} to be between two other points {{mvar|A}} and {{mvar|C}}, if the distance {{mvar|{{abs|AB}}}} added to the distance {{mvar|{{abs|BC}}}} is equal to the distance {{mvar|{{abs|AC}}}}. Thus in {{tmath|\R^2,}} the line segment with endpoints <math>A=(a_x,a_y)</math> and <math>C=(c_x,c_y)</math> is the following collection of points:
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