Mathematics and Logic · Systems and Thinking
Vectors and Coordinate Frames
A vector can be represented by ordered components that describe a quantity such as position, direction, or velocity. Those components become interpretable only with the coordinate frame and representation that give them an origin, axes, orientation, units, and applicable time where needed. The same components can describe different physical or geometric meanings in different frames.
Sources & review
Evidence and review
How Atlas supports this record.
Atlas uses original Kinesema wording. These public sources support narrow parts of the record; they are not endorsements or proof of claims outside the roles shown below.
- Review
- Human reviewed
- AI assistance
- Yes—human reviewed
- Last reviewed
- 2026-08-23
The International System of Units (SI Brochure), 9th edition, version 4.01
Bureau International des Poids et Mesures
- Used here for
- The scoped roles of quantity values, numbers, units, dimensions, and angle-unit context when expressing and interpreting numerical values.
- Source use
- Paraphrased from source
- Source type
- official BIPM publication and authoritative SI reference; ninth edition published 2019; version 4.01
International Vocabulary of Metrology — Basic and General Concepts and Associated Terms (VIM), 3rd edition, JCGM 200:2012
Joint Committee for Guides in Metrology
- Used here for
- Scoped distinctions among quantity, quantity value, numerical value, measurement unit, dimension, quantity-value scale, conversion, and measurement-uncertainty roles.
- Source use
- Paraphrased from source
- Source type
- official international metrology vocabulary; third edition; corrected 2012 publication
OGC Abstract Specification Topic 2: Referencing by coordinates (Including corrigendum 1 and corrigendum 2), OGC 18-005r8, version 6.0.8
Open Geospatial Consortium
- Used here for
- Within its OGC and ISO 19111 scope, distinctions among coordinate systems, coordinate reference systems, datums and reference frames, coordinate operations, coordinate conversions, coordinate transformations, dynamic reference frames, coordinate epochs, and relevant frame-reference, datum-anchor, transformation-reference, and parameter-reference epoch roles.
- Source use
- Paraphrased from source
- Source type
- official OGC publicly available standard and Abstract Specification; exact document 18-005r8, version 6.0.8
This is a concise first-release record, not a complete course. Examples, terminology, and reviewed connections can grow through later public projections.
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Connected concepts
These are reviewed Atlas relationships, not suggestions inferred from page order or visual proximity. Open a boundary only when you want the extra detail.
Connects to
Kinematics and Motion
Kinematic descriptions can use vectors and coordinate frames to express position, direction, orientation, velocity, or other motion-related quantities.
Connection boundary
A coordinate description does not by itself provide dynamics, physical feasibility, intent, meaning, or an accepted motion plan.
Connects to
Units, Frames, and Uncertainty
Vector components need units, coordinate representation, frame, and applicable time where relevant before their values can be interpreted or compared.
Connection boundary
Naming that context does not validate the vector, select the correct transformation, or establish measurement accuracy.