APPLICATION OF DETERMINANT OF GRAM MATRIX TO CALCULATE DISTANCE IN GEOMETRY

Abstract

Distances in n-dimensional Euclidean geometry are mainly the distance from a point to a hyperplane and the distance between two skew hyperplanes. Distances in grade 11th spatial geometry are mainly the distance from a point to a line, the distance from a point to a plane and the distance between two skew lines. In Euclidean geometry, the application of the determinant of the Gram matrix will calculate the distance between any two hyperplanes. By using this formula for some 11th grade spatial geometry problems, we have more calculation tools and can quickly find the answer. The article presents distance formulas in Euclidean geometry with illustrative examples. From there, applying the above formulas to solve some problems in 11th grade spatial geometry