Geodesic
The distance from a point to a line or a plane in coordinate geometry: A revisit with three elementary solutions
The Teaching of Mathematics, XXVII (2024) no. 1, p. 52 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The popular problem of the distance from a point to a line in two-dimensional coordinate geometry has been presented in many textbooks, books, and articles with multiple solutions. In this paper, we revisit this problem by presenting three interesting elementary solutions. In addition, we discuss some applications of these solutions in solving some related three-dimensional coordinate geometry problems. These elementary solutions to the two-dimensional and three-dimensional geometry problems can be used suitably in teaching mathematics at high school or junior college level.
DOI : 10.57016/TM-MCOZ3440
Classification : 97G70 G14, G44, G74
Keywords: Distance from a point to a line, distance from a point to a plane, coordinate geometry, elementary solutions. 
@article{10_57016_TM_MCOZ3440,
     author = {Nguyen Huyen Trang and Le Tuan Anh},
     title = {The distance from a point to a line or a plane in coordinate geometry: {A} revisit with three elementary solutions},
     journal = {The Teaching of Mathematics},
     pages = {52 },
     publisher = {mathdoc},
     volume = {XXVII},
     number = {1},
     year = {2024},
     doi = {10.57016/TM-MCOZ3440},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-MCOZ3440/}
}
TY  - JOUR
AU  - Nguyen Huyen Trang
AU  - Le Tuan Anh
TI  - The distance from a point to a line or a plane in coordinate geometry: A revisit with three elementary solutions
JO  - The Teaching of Mathematics
PY  - 2024
SP  - 52 
VL  - XXVII
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.57016/TM-MCOZ3440/
DO  - 10.57016/TM-MCOZ3440
LA  - en
ID  - 10_57016_TM_MCOZ3440
ER  - 
%0 Journal Article
%A Nguyen Huyen Trang
%A Le Tuan Anh
%T The distance from a point to a line or a plane in coordinate geometry: A revisit with three elementary solutions
%J The Teaching of Mathematics
%D 2024
%P 52 
%V XXVII
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.57016/TM-MCOZ3440/
%R 10.57016/TM-MCOZ3440
%G en
%F 10_57016_TM_MCOZ3440
Nguyen Huyen Trang; Le Tuan Anh. The distance from a point to a line or a plane in coordinate geometry: A revisit with three elementary solutions. The Teaching of Mathematics, XXVII (2024) no. 1, p. 52 . doi : 10.57016/TM-MCOZ3440. http://geodesic.mathdoc.fr/articles/10.57016/TM-MCOZ3440/

Cité par Sources :