Precalculus with Limits: A Graphing Approach, Sixth Edition
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Precalculus with Limits: A Graphing Approach, Sixth Edition View details
1. The Three-Dimensional Coordinate System
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Exercise 1 Page 716

How many axes are there in a coordinate system?

three-dimensional

We want to complete the sentence.

A coordinate system can be formed by passing a z-axis perpendicular to both the x-axis and the y-axis at the origin.

In a two-dimensional coordinate plane, there are only two axes, the x-axis and the y-axis. The axes are perpendicular and intersect at the origin. Each axis defines one dimension of the coordinate plane.
coordinate plane

We can graph the third axis perpendicular to both the x-axis and y-axis.

The z-axis determines the third dimension. This means that the coordinate system formed by the x-axis, y-axis, and z-axis is three-dimensional. Let's fill in the blank.

A three-dimensional coordinate system can be formed by passing a z-axis perpendicular to both the x-axis and the y-axis at the origin.