noun

• (countable) The determination of the relative position of something or someone.
• (countable) The relative physical position or direction of something.
• (uncountable) The construction of a Christian church to have its aisle in an east-west direction with the altar at the east end.
• (countable) An inclination, tendency or direction.
• (countable) The ability to orient, or the process of so doing.
• (countable) An adjustment to a new environment.
• (countable) An introduction to a (new) environment.
• (education) Events to orient new students at a school; events to help new students become familiar with a school.
• (typography, countable) The direction of print across the page; landscape or portrait.
• (mathematical analysis, differential geometry, countable) The choice of which ordered bases are "positively" oriented and which are "negatively" oriented on a real vector space.
• (analytic geometry, topology, countable) The designation of a parametrised curve as "positively" or "negatively" oriented (or "nonorientable"); the analogous description of a surface or hypersurface.
• (LGBT) Ellipsis of sexual orientation. [One's tendencies of sexual attraction, considered as a whole.]