Because it's plotted on a flat background
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The centre of a coordinate plane is the point (0,0), also called the origin.
The coordinate of (0, 0) is also called the origin on the Cartesian plane.
A coordinate plane is also called a Cartesian plane. This is because its creator, the Father of Analytical Geometry, is Rene Descartes.
Possibly because the first time that pupils are introduced to the name and concept it is has only two dimensions. These are usually represented as horizontal (x) and vertical (y) coordinates. Actually, many children meet the concept - in its 1-dimensional form - as the number line. It is not called a Cartesian coordinate system then, and they make only simple use of it. The Cartesian coordinate system is normally extended to 3-dimensional space in high school coordinate geometry when it is obviously not called a plane, and to multi-dimensional hyperspaces in advanced mathematics or physics.
No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.