• SONU

We have studied co-ordinate geometry in two dimensions in which the position of a point is determined by the perpendicular distance from the point to two intersecting perpendicular lines, known as the co-ordinate axes. In actual life, we do not have to deal with points lying in a plane only. For example, suppose, if we have to locate the position of the lowest tip of a ceiling fan hanging from the ceiling of a room. Here we will not only require the perpendicular distances of the point to be located from two perpendicular walls of the room, but also the height of the lowest point from the floor of the room. Therefore, we require not two but three numbers representing the perpendicular distances of the points from three mutually perpendicular planes, namely the floor of the room and the two adjacent walls of the room. The three numbers representing the three distances are called the coordinates of the point with reference to the three co-ordinate planes. Thus, to locate a point in space, we require three dimensions. The geometry which defines the position of a point in space by three numbers x, y and z is called three dimensional geometries, which we shall be studying in this paper. Three-dimensional space (also: 3-space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension. An object that has height, width and depth, like any object in the real world. For example: your body is three-dimensional. It is also known as "3D". In this topic three dimensional geometry of space (3-D space) is explained in details. This is a very important topic in mathematics. We are looking at the equations of graphs in 3-D space as well as vector valued functions and how we do calculus with them. In the 3-D Coordinate system. In this topic I have discussed about the concepts and notation for the three dimensional coordinate system, equations of lines and develop the various forms for the equation of lines in three dimensional space. In the equations of planes, the concept of equation of a plane is also discussed in detail with 3D dimensional figures. I have discussed in vector functions, the concept of vector functions, Types of vector (particular unit vector), position vector of a Point, distance of a point P (x, y, z) from origin and are explained with the help of diagrams.

Three Dimensional Geometry

"Three Dimensional Geometry", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.733-736, June 2019, Available :http://www.jetir.org/papers/JETIR1906J44.pdf

"Three Dimensional Geometry", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp733-736, June 2019, Available at : http://www.jetir.org/papers/JETIR1906J44.pdf