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- Title
VECTOR ALGEBRA PROOFS FOR GEOMETRY THEOREMS.
- Authors
Sher, David B.; Nataro, Dean
- Abstract
The article presents various examples on the generalization of plane geometry to higher dimensions. The proofs illustrate a different way of using vector algebra in geometry theorems and changing the representations of a problem. It represents the sum of the squares of the diagonals less than or equal to the sum of the squares of the sides. It describes the relationship between the cross product and the area of a quadrilateral by switching them. It examines whether one quarter of triangle is an acute angle.
- Subjects
PLANE geometry; MATHEMATICAL proofs; QUADRILATERALS; LINEAR algebra; VECTOR algebra; SQUARE; TRIANGLES; ANGLES; ANALYTIC geometry of planes
- Publication
Mathematics & Computer Education, 2002, Vol 36, Issue 2, p187
- ISSN
0730-8639
- Publication type
Article