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Analytical Geometry
book

Analytical Geometry

by P. R. Vittal
May 2013
Intermediate to advanced
748 pages
14h 14m
English
Pearson India
Content preview from Analytical Geometry

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 ...

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Publisher Resources

ISBN: 9789332524361