A location is where an object exists in a space. In metric spaces, a location is usually measured from the origin. In a 1-dimensional space, a location can have only a directed distance from the origin. Think of a number line. See figure 1. The origin is the location marked 0. If a point exists 2 to the right of 0, it is the point marked '2' on the number line. Notice that location in a 1-dimensional metric space is defined by a single number.
Click on the blue point and drag it to change the figure.|
How many numbers does it take to specify a location in one dimension?
|Manipulative 1 - Location in One Dimension Created with GeoGebra.|
A location in a 2 dimensional space has two offsets from the origin. Often these offsets are referred to as length and width. They can also be referred to a vertical and horizontal offset. Think of an x-y graph. Click on the blue point in manipulative 2 and drag it to change the figure.
A 2-dimensional graph is called a Cartesian plane. The vertical axis is often called the y-axis. The horizontal axis is often called the x-axis. The location of a point in a 2-dimensional metric space can be described by 2 numbers.
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