Class 11 Maths Introduction To 3D Geometry 3D Geometry

3D Geometry

To locate position of a object in a line, you just need the distance of the object from the point of reference.

To locate the position of a point in a plane, we need two intersecting mutually perpendicular lines in the plane. These lines are called the coordinate axes and the two numbers are called the coordinates of the point with respect to the axes.

In actual life, we do not have to deal with points lying in a line or plane only. For example, consider the position of a ball thrown in space at different points of time or the position of an aero plane as it flies from one place to another at different times during its flight.

If we were to locate the position of a ball thrown in the room (in the air) ,  we will not only re quire the perpendicular distances of the point to be located from two perpendicular walls of the room but also the height of the point from the floor of the room. Therefore, we need not only two but three numbers representing the perpendicular distances of the point from three mutually perpendicular planes, namely the floor of the room and 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 coordinate planes. So, a point in space has three coordinates.

.