## Z-Axis

### In mathematics, the z-axis refers to the third perpendicular axis in a three-dimensional coordinate system

In mathematics, the z-axis refers to the third perpendicular axis in a three-dimensional coordinate system. It is commonly represented by the letter “z” and is used to denote the depth or height of a point in space.

In a three-dimensional Cartesian coordinate system, the x-axis and y-axis lie in the horizontal plane, with the x-axis pointing horizontally and the y-axis pointing vertically. The z-axis is perpendicular to the x-axis and y-axis, and it extends vertically, creating a three-dimensional coordinate system.

The z-axis is often used to represent the vertical dimension in various mathematical and geometric applications. For example, in geometric shapes such as cubes or rectangular prisms, the z-axis represents the height or depth of the object. In analytical geometry, the z-axis is used to indicate the third coordinate in a three-dimensional system, along with the x-axis and y-axis, in equations of lines, planes, and surfaces.

Understanding the z-axis is essential when working with three-dimensional objects and analyzing their characteristics in space. It allows mathematicians and scientists to precisely locate points, calculate distances, and determine relationships between different objects in three-dimensional space.

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