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A coordinate dimension refers to the number of independent parameters or coordinates needed to specify a point in a given space. For example, in a two-dimensional space, two coordinates (such as x and y) are required to define a point, while in three-dimensional space, three coordinates (x, y, and z) are necessary. The concept is fundamental in mathematics and physics, as it helps describe the structure of various geometric and spatial forms.
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The distance between two points on a line segment is the absolute value of what?
The absolute value of the difference of their coordinate (if it is in one dimension).
What is the shape of a line with an infinite slope in economics?
Slope is the change in y (vertical dimension) with the change in x (horizontal dimension). On a Cartesian coordinate system, the slope is equal to infinity for change in x = 0, or a vertical line.
What is the Order of a coordinate?
The order of a coordinate typically refers to its position in a multi-dimensional space. For example, in a two-dimensional Cartesian coordinate system, an ordered pair (x, y) indicates the x-coordinate (first order) and the y-coordinate (second order). In three dimensions, a coordinate is represented as (x, y, z), with each dimension corresponding to a specific order. This concept helps in identifying the location of points within various geometric contexts.
What is the cartesian coordinate plane?
That's the name of the plane with the horizontal x-axis and the vertical y-axis on which equations and inequalities with two variables are graphed. The Cartesian coordinate plane is to two dimensions as the number line is to one dimension.
What are the two coordinate plane letters?
The two letters for a 2-dimensional plane are X and Y. Each one is known as an axis, therefore being the X axis and the Y axis. The X axis is the horizontal dimension and the Y axis is the vertical dimension.
The distance between two points on a line segment is the absolute value of what?
The absolute value of the difference of their coordinate (if it is in one dimension).
Givin the coordinate of one endpoint of segment AB and its midpoint find the coordniates of the other endpoint?
If the coordinate of A is x, and that of the midpoint of AB, M, is m then the distance AM is m-x so the distance AB = 2*(m-x) So the coordinate of B is x + 2*(m-x) = 2m-x For coordinates in more than one dimension, apply the above rule separately for each dimension.
What is the shape of a line with an infinite slope in economics?
Slope is the change in y (vertical dimension) with the change in x (horizontal dimension). On a Cartesian coordinate system, the slope is equal to infinity for change in x = 0, or a vertical line.
What is the Order of a coordinate?
The order of a coordinate typically refers to its position in a multi-dimensional space. For example, in a two-dimensional Cartesian coordinate system, an ordered pair (x, y) indicates the x-coordinate (first order) and the y-coordinate (second order). In three dimensions, a coordinate is represented as (x, y, z), with each dimension corresponding to a specific order. This concept helps in identifying the location of points within various geometric contexts.
What is the cartesian coordinate plane?
That's the name of the plane with the horizontal x-axis and the vertical y-axis on which equations and inequalities with two variables are graphed. The Cartesian coordinate plane is to two dimensions as the number line is to one dimension.
What are the two coordinate plane letters?
The two letters for a 2-dimensional plane are X and Y. Each one is known as an axis, therefore being the X axis and the Y axis. The X axis is the horizontal dimension and the Y axis is the vertical dimension.
What is three dimension motion?
motion of any object in Cartesian coordinate system along x, y, z direction by that same time. eg. flying of bird
How many coordinate systems are there in Physics?
In physics, there are mainly two types of coordinate systems used: Cartesian coordinate system and spherical coordinate system. The choice of coordinate system depends on the nature of the problem being solved and the symmetry of the system. Other coordinate systems, such as cylindrical and polar, can also be used for specific applications.
What is the proper notation used to express a point in the three-dimensional coordinate plane?
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
How many number lines comprise the basic parts of the cartesian coordinate?
The Cartesian coordinate system comprises two number lines: one horizontal (the x-axis) and one vertical (the y-axis). These two lines intersect at the origin (0,0), dividing the plane into four quadrants. Each axis represents a dimension of the coordinate system, allowing for the representation of points in two-dimensional space.
What are are the 2 main types of projection?
A Projection is defined as a process which transforms points in a coordinate system of dimension n into points in a coordinate system of dimension less than n.The mapping of 3D objects onto the 2D screen is done by straight projection rays (called projectors) emanating from a center of projection, passing through each point of the object, and intersecting a projection plane to form the projection.Projections can be divided into two basic classes:Perspective or Vanishing Point Method (VPM)Parallel Projection
What are the main types of projection?
A Projection is defined as a process which transforms points in a coordinate system of dimension n into points in a coordinate system of dimension less than n.The mapping of 3D objects onto the 2D screen is done by straight projection rays (called projectors) emanating from a center of projection, passing through each point of the object, and intersecting a projection plane to form the projection.Projections can be divided into two basic classes:Perspective or Vanishing Point Method (VPM)Parallel Projection
