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

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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. 
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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

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