Table of Contents
General Equation of Plane Overview
A plane is a two-dimensional surface that extends infinitely in all directions. A plane can be defined by any two points in space, called its points of origin and destination. The equation of a plane is a mathematical formula that describes the plane’s position and orientation in space. The equation of a plane is written in the form Ax + By + Cz = D, where A, B, and C are the plane’s coefficients and D is the plane’s destination point.
| S.NO | CONTENT |
| 1 | INTRODUCTION |
| 2 | WHAT IS A PLANE? |
| 3 | CONCEPT OF A PLANE IN 3-DIMENSIONAL GEOMETRY |
| 4 | NON-COLLINEARITY |
| 5 | EQUATION OF A PLANE |
What is a Plane?
A plane is a two-dimensional surface that extends in all directions. A plane is a flat surface that is infinite in length and width.
Concepts of a Plane in 3-Dimensional Geometry
A plane is a flat surface that extends infinitely in all directions. A plane is represented in three-dimensional geometry by a two-dimensional plane figure, or plane curve, that has no thickness.
Non – Collinearity and the Equation of a Plane
A plane is determined by three points not all on the same line. In other words, the points are not collinear.
The Equation of a Plane in Intercept Form
The equation of a plane in intercept form is
Ax + By + Cz = D
For more visit Equation of a Straight Line – Slope Intercept, Normal Form and FAQs
