Distance from a point to a plane
id:
distance-from-a-point-to-a-plane-177-17526551
title:
Distance from a point to a plane
text:
In Euclidean space, the distance from a point to a plane is the distance between a given point and its orthogonal projection on the plane, the perpendicular distance to the nearest point on the plane. It can be found starting with a change of variables that moves the origin to coincide with the given point then finding the point on the shifted plane a x + b y + c z = d that is closest to the origin. The resulting point has Cartesian coordinates :
- x = a d a 2 + b 2 + c 2, y = b d a 2 + b 2 +
brand slug:
wiki
category slug:
encyclopedia
description:
Length in solid geometry
original url:
https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_plane
date created:
2006-12-13T23:12:23Z
date modified:
2024-09-04T07:40:38Z
main entity:
{"identifier":"Q3030668","url":"https://www.wikidata.org/entity/Q3030668"}
image:
fields total:
13
integrity:
15