Sir William Rowan Hamilton’s quarternion: a fundamental insight and new picture of orthogonality

  • Unique Paper ID: 157822
  • Volume: 9
  • Issue: 8
  • PageNo: 237-241
  • Abstract:
  • Quarternions are visualized in lesser dimensions. The new idea of orthogonality is proposed. We imagined in this paper the quaternions concepts and quaternions algebra, by ultimately basic concepts. Representation of quaternions by coordinates and transformation of quaternion in space, equivalently rotation in terms of displacements.

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Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{157822,
        author = {RAM SWAROOP MEGHWAL and S. Bhardwaj and V. K. Pancholi},
        title = {Sir William Rowan Hamilton’s quarternion: a fundamental insight and new picture of orthogonality},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {9},
        number = {8},
        pages = {237-241},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=157822},
        abstract = {Quarternions are visualized in lesser dimensions. The new idea of orthogonality is proposed. We  imagined in this paper the quaternions concepts and quaternions algebra,   by ultimately basic concepts. Representation of quaternions by coordinates and  transformation of quaternion in space, equivalently rotation in terms of displacements.},
        keywords = {Quaternion , quarternions as coordinates, orthogonality in different dimensions, rotation as multiplication by complex number a part of quarternion},
        month = {},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 9
  • Issue: 8
  • PageNo: 237-241

Sir William Rowan Hamilton’s quarternion: a fundamental insight and new picture of orthogonality

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