Three-dimensional space is given by an ordered triple of real numbers

In mathematics, analytic geometry (also called Cartesian geometry) describes any point in three-dimensional space by means of three coordinates. Three coordinate axes are given, usually each perpendicular to the other two at the origin, the point at which they cross. They are usually labeled x, y, and z. Relative to these axes, the position...

where the idea of independence is crucial. Space

In mathematics, analytic geometry (also called Cartesian geometry) describes any point in three-dimensional space by means of three coordinates. Three coordinate axes are given, usually each perpendicular to the other two at the origin, the point at which they cross. They are usually labeled x, y, and z. Relative to these axes, the position...

Three coordinate axes are given, each perpendicular

In mathematics, analytic geometry (also called Cartesian geometry) describes any point in three-dimensional space by means of three coordinates. Three coordinate axes are given, usually each perpendicular to the other two at the origin, the point at which they cross. They are usually labeled x, y, and z. Relative to these axes, the position...

Our three-dimensional space is viewed as embedded

In mathematics, analytic geometry (also called Cartesian geometry) describes any point in three-dimensional space by means of three coordinates. Three coordinate axes are given, usually each perpendicular to the other two at the origin, the point at which they cross. They are usually labeled x, y, and z. Relative to these axes, the position...