3 Dimensional Geometry

In Analytic Geometry (also referred as Cartesian Geometry), every point in three-dimensional space is referred by three coordinates. Three coordinate axes (normally referred as x, y, and z) are used, each perpendicular to the other two, crossing at the origin. The position of any point in three-dimensional space is given by an ordered triple of real numbers, each number giving the distance of that point from the origin measured along the given axis.

Three Dimensional Space and Coordinate Planes

In 3 dimensional space, we think of three planes intersecting at a point O such that these three planes are mutually perpendicular to each other (F-1). These three planes intersect along the lines OX, OY and OZ, called the x, y and z–axes, respectively, mutually perpendicular to each other. The point O is called the origin of the coordinate system.