Definition:Vector Cross Product/Historical Note
Jump to navigation
Jump to search
Historical Note on Vector Cross Product
During the course of development of vector analysis, various notations for the vector cross product were introduced, as follows:
| Symbol | Used by |
|---|---|
| $\mathbf a \times \mathbf b$ | Josiah Willard Gibbs and Edwin Bidwell Wilson |
| $V \mathbf a \mathbf b$ | Oliver Heaviside |
| $\sqbrk {\mathscr A \mathscr B}$ | Max Abraham |
| $\sqbrk {\mathfrak A \mathfrak B}$ | Vladimir Sergeyevitch Ignatowski |
| $\sqbrk {\mathbf A \cdot \mathbf B}$ | Hendrik Antoon Lorentz |
| $\mathbf a \wedge \mathbf b$ | Cesare Burali-Forti and Roberto Marcolongo |
Sources
- 1921: C.E. Weatherburn: Elementary Vector Analysis ... (previous) ... (next): Table of Notations
- 1924: C.E. Weatherburn: Advanced Vector Analysis ... (previous) ... (next): Table of Notations
- 1957: D.E. Rutherford: Vector Methods (9th ed.) ... (previous) ... (next): Chapter $\text I$: Vector Algebra: $\S 3$: footnote $\dagger$