Chapter 4.7, Problem 1MS

At one with the univers. Below is a sketch of a 1-dimensional space. Identify the points $x=3,y=-5/2,\text{and }z=\mathrm{2.25.}$

How does the fact that you need only one number to identify a particular point relate to the dimension of the space?

To determine

To draw: The number of points on the number line.

Explanation of Solution

Given information:

The points are $x=3,y=-\frac{5}{2}\text{ and }z=225$ .

The one dimensional space is the number line in which the position of each point can be represented by a single number.

Positions on the number line lie between negative infinity and positive infinity.

Therefore, the range of the number line is $\left(-\infty ,\infty \right)$ .

The given points $x=3,y=-\frac{5}{2}\text{ and }z=2.25$ can be represented on the number line as shown in Figure 1.

  

There is required only one number to determine a specific point relate to the dimension of the space.