Table of Contents
Basics of Perpendicularity
A line is perpendicular to a plane if it intersects the plane at a right angle. The line is perpendicular to the plane if the angle between the line and the plane is 90 degrees. Perpendicular Distance Of A Point From A Plane.
Perpendicular Distance of a Point From a Line in 3D
The perpendicular distance of a point from a line in 3D is the distance from the point to the line measured perpendicular to the line. This can be calculated using the Pythagorean theorem.
Distance of a Point From a Plane Using Vector Form
The distance between a point and a plane can be found by using the formula:
Distance = (Vector A.x – Vector B.x)2 + (Vector A.y – Vector B.y)2
Distance of a Point from a Plane with the Help of Cartesian Form
Given a point and a plane in Cartesian form, the distance between the point and the plane can be found using the following formula:
\(\delta=\frac{|x-a|+|y-b|}{2}\),
where \(a\) and \(b\) are the coordinates of the point and the plane, respectively, and \(\delta\) is the distance between the point and the plane.
The Perpendicular Distance from a Point to a Line 3D
The perpendicular distance from a point to a line in three dimensions is the distance from the point to the line that is perpendicular to the line.
