Can you have axial vectors in a 2D space?

Click For Summary
SUMMARY

Axial vectors can exist in a 2D space as entities that are perpendicular to the plane, often referred to as "twisted vectors" or "odd vectors." This concept is supported by resources from Bill Burke's website, which includes illustrations and explanations of these vectors. For a comprehensive understanding, a PostScript viewer such as GSview is necessary to access the provided visual materials. Additional information can be found on the ICM education page regarding axial vectors.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with 2D geometric concepts
  • Knowledge of axial and twisted vector definitions
  • Ability to use PostScript viewers like GSview
NEXT STEPS
  • Research the properties of axial vectors in higher dimensions
  • Explore the mathematical implications of twisted vectors
  • Learn about vector representation in 2D and 3D spaces
  • Investigate the applications of axial vectors in physics and engineering
USEFUL FOR

Mathematicians, physicists, and students studying vector analysis or geometric transformations will benefit from this discussion.

touqra
Messages
284
Reaction score
0
Can you have axial vectors in a 2D space?
 
Mathematics news on Phys.org
In a sense. The "axial vector" would be perpendicular to the plane.
 
Last edited by a moderator:

Similar threads

High School Can an Object with N Dimensions Exist in N-1 Dimensions?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Principal difference between complex numbers and 2D vectors revisited
  • · Replies 24 ·
Replies
24
Views
4K
High School Notation for a "scalar absolute field"?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Axial Version of the Phi Meson
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Axial angular momentum calculation
  • · Replies 30 ·
2
Replies
30
Views
5K
Undergrad Standard basis and other bases...
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Solving simultaneous vector equations
  • · Replies 11 ·
Replies
11
Views
3K
How to obtain Axial Load Capacity from Tapered Roller Bearings Catalog
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Are There Other Ways To Represent Vectors Besides Arrows?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Get geodesics & parallel transport on 2D surfaces (discrete timestep)
  • · Replies 12 ·
Replies
12
Views
3K