2026-03-12T04:59:45Z https://hiroshima.repo.nii.ac.jp/oai

oai:hiroshima.repo.nii.ac.jp:02031265 2025-06-09T04:44:25Z 1727147343679:1730444389501:1730444399258

ベクトルの外積に関する考察 : その概念の広がりと教材性に関して Study on the Cross Product of Vectors : For an expanse and teaching material aspect of the notion 今岡, 光範 Imaoka, Mitsunori 今岡 Imaoka 光範 Mitsunori open access cross product space vector vertical vector teaching material 外積 空間ベクトル 垂直ベクトル 教材 370 410 The cross product of vectors is a fundamental notion in the vector analysis and the applications of mathematics. It is a peculiar one to the space vectors, and a sort of product with the alternating law and without the associative law. One purpose of the article is to describe such peculiarity of the cross product from the fundamental mathematical view point and consider a generalization of the cross product to the general dimensional vectors. Then, in the case of the plane vectors, the generalization corresponds to the vertical vector, and to explore the notion of the vertical vector as a teaching material is another ingredient of the article, where we describe some useful aspect of the notion showing several concrete examples. 広島大学大学院教育学研究科 2008-12-26 jpn departmental bulletin paper VoR https://doi.org/10.15027/26063 https://hiroshima.repo.nii.ac.jp/records/2031265 10.15027/26063 1346-5554 AA11618725 広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域 Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education 57 19 19 28 https://hiroshima.repo.nii.ac.jp/record/2031265/files/BullGradSchEducHiroshimaUniv-Part2-ArtsSciEduc_57_19.pdf 1.9 MB