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

Imaoka Mitsunori

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

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.

cross product

space vector

vertical vector

teaching material

外積

空間ベクトル

垂直ベクトル

教材

Education [ 370 ]

Mathematics [ 410 ]

jpn

広島大学大学院教育学研究科

[ISSN] 1346-5554

[NCID] AA11618725