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The coordinates are often denoted by the letters x, y, and z. The axes may then be referred to as the x-axis, y-axis, and z-axis, respectively. Then the coordinate planes can be referred to as the xy-plane, yz-plane, and xz-plane.
These three planes intersect along the lines X′OX, Y′OY and Z′OZ, and are respectively called the x, y and z-axes. However, point O is called the origin of the coordinate system. The representation of coordinate axes in three dimensions is given below.
27 Σεπ 2020 · The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x- axis and 0 on the y- axis. Locations on the coordinate plane are described as ordered pairs.
10 Νοε 2020 · The Euclidean plane has two perpendicular \(\textbf{coordinate axes}\): the \(x\)-axis and the \(y\)-axis. In vector (or multivariable) calculus, we will deal with functions of two or three variables (usually \(x, y\) or \(x, y, z\), respectively).
The three-dimensional cartesian coordinate system consists of three axes, the x-axis, the y-axis, and the z-axis, which are mutually perpendicular to each other and have the same units of length across all three axes.
The $xy$-plane is the horizontal plane spanned by the $x$ and $y$-axes. It is identical to the two-dimensional coordinate plane and contains the floor in the room analogy. Similarly, the $xz$-plane is the vertical plane spanned by the $x$ and $z$-axes and contains the left wall in the room analogy.
A point's location on the plane is given by two numbers,the first tells where it is on the x-axis and the second which tells where it is on the y-axis. Together, they define a single, unique position on the plane. So in the diagram above, the point A has an x value of 20 and a y value of 15.
