Line segment: Difference between revisions

Revision as of 09:21, 28 June 2023

Revision as of 10:13, 20 July 2023

Line 13:

:<math>L = \{ \mathbf{u} + t\mathbf{v} \mid t \in [0,1]\}</math>

for some vectors <math>\mathbf{u}, \mathbf{v} \in V.</math> where {{math|'''v'''}} is nonzero. In which case, the vectors {{math|'''u'''}} and {{math|'''u''' + '''v'''}} are called the end points of {{mvar|L}}.

Sometimes, one needs to distinguish between "open" and "closed" line segments. In this case, one would define a '''closed line segment''' as above, and an '''open line segment''' as a subset {{mvar|L}} that can be parametrized as