What is the cartesian equation of the xz plane
To stay in the xz plane you cannot move into the y direction.
So guess what the equation of the xz plane is ...
y = 0
The Cartesian equation of the xz plane is given by the equation y = 0.
To understand why this is the case, let's first review what the Cartesian coordinate system is. The Cartesian coordinate system is a method of representing points in space using three axes: the x-axis, the y-axis, and the z-axis. Each axis is perpendicular to the other two axes, forming a 90-degree angle at their intersection.
In the Cartesian coordinate system, any point in space can be described by three coordinates (x, y, z), where x represents the position on the x-axis, y represents the position on the y-axis, and z represents the position on the z-axis.
The xz plane is a two-dimensional plane that lies parallel to the y-axis. Since it is a two-dimensional plane, it can be represented by a single equation in the form of y = constant. In the case of the xz plane, y is always 0, meaning that it lies along the x-axis and the z-axis.
Therefore, the Cartesian equation of the xz plane is y = 0.