What does XY-plane mean?

What does XY-plane mean?

The xy-plane is the plane that contains the x- and y-axes; the yz-plane contains the y- and z-axes; the xz-plane contains the x- and z-axes. These three coordinate planes divide space into eight parts, called octants.

What is a constant coordinate surface?

In three-dimensional space, if one coordinate is held constant and the other two are allowed to vary, then the resulting surface is called a coordinate surface. For example, the coordinate surfaces obtained by holding ρ constant in the spherical coordinate system are the spheres with center at the origin.

What is differential area?

In any coordinate system it is useful to define a differential area and a differential volume element. In cartesian coordinates the differential area element is simply dA=dxdy (Figure 10.2.

What is differential displacement?

differential displacement vector is a directed distance, thus. the units of its magnitude must be distance (e.g., meters, feet). The differential value dφ has units of radians, but the. differential value d. ρ φ does have units of distance.

How many coordinates are there?

There are three commonly used coordinate systems: Cartesian, cylindrical and spherical. In this chapter, we will describe a Cartesian coordinate system and a cylindrical coordinate system.

What is coordinate of a point?

Coordinates Definition. A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines called the coordinates. Usually represented by (x, y) the x value and y value of the point on a graph. Every point or an ordered pair contains two coordinates.

What is the range of phi in spherical coordinates?

between 0o to 360o
Range of Phi (ϕ) coordinate. And the vertical half plane stuck to the Z axis, to contain that point, could have any orientation within 360 degrees. Hence, Phi can take any value between 0o to 360o or 0 to 2π.