Abstract

This chapter focuses on rectangular coordinate system, its distance formula, planes parallel to the coordinate planes, and direction angles of a directed line. It describes the rectangular coordinate system by drawing three mutually perpendicular directed lines through a common point O called the origin and assigns directions on these lines. These lines are called coordinate axes, and each pair of them determines a coordinate plane. These three coordinate axes are traditionally called the x axis, the y axis, and the z axis. The coordinate planes are referred to as the xy plane, the xz plane, and the yz plane. The position of a point P is described by its three directed distances (x, y, z) from each of the coordinate planes. Once the coordinate system is chosen, each ordered set of three numbers uniquely locates a point and conversely, each point has a unique set of coordinates.

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