O'Reilly logo

Analytical Geometry by P. R. Vittal

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 11

Three Dimension

11.1  RECTANGULAR COORDiNATE AXES

To locate a point in a plane, two numbers are necessary. We know that any point in the xy plane can be represented as an ordered pair (a, b) of real numbers where a is called x-coordinate of the point and b is called the y-coordinate of the point. For this reason, a plane is called two dimensional.

To locate a point in space, three numbers are required. Any point in space is represented by an ordered triple (a, b, c) of real numbers. To represent a point in space we first choose a fixed point ‘O’ (called the origin) and then three directed lines through O which are perpendicular to each other (called coordinate axes) and labelled x-axis, y-axis as being horizontal and z-axis as vertical ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required