Right-hand rule
Updated: 12/20/2025, 11:17:31 AM Wikipedia source
In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field. The various right- and left-hand rules arise from the fact that the three axes of three-dimensional space have two possible orientations. This can be seen by holding your hands together with palms up and fingers curled. If the curl of the fingers represents a movement from the first or x-axis to the second or y-axis, then the third or z-axis can point along either right thumb or left thumb.
Tables
| Axis/vector | Two fingers and thumb | Curled fingers |
| x (or first vector) | First or index | Fingers extended |
| y (or second vector) | Second finger or palm | Fingers curled 90° |
| z (or third vector) | Thumb | Thumb |
References
- Lectures on quaternionshttp://archive.org/details/bub_gb_TCwPAAAAIAAJ
- IEEE Accesshttps://dx.doi.org/10.1109/access.2016.2538262
- Elements of Vector Analysis: Arranged for the Use of Students in Physicshttps://archive.org/details/elementsvectora00gibb
- Vector calculus, linear algebra, and differential forms : a unified approachhttp://archive.org/details/vectorcalculusli0000hubb
- Magnets and electric currents. An elementary treatise for the use of electrical artisans and science teachershttp://archive.org/details/magnetsandelect01flemgoog
- udel.eduhttp://www.physics.udel.edu/~watson/phys345/Fall1998/class/1-right-hand-rule.html
- IIT Foundation Series: Physics – Class 8, Pearson, 2009, p. 312.