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How is dimension related to the number of coordinates needed to locate a point?
Dimension refers to the minimum number of coordinates required to uniquely identify a point within a space. For example, a point in a one-dimensional space (like a line) requires one coordinate, while a point in two-dimensional space (like a plane) requires two coordinates (x and y). Similarly, three-dimensional space requires three coordinates (x, y, and z). Therefore, the dimension of a space directly corresponds to the number of coordinates needed for pinpointing a location within that space.
What is a coordinate dimension?
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.
Typically a point in three-dimensional Cartesian coordinates is represented by which of the following?
(x,y,z)
If a point in a three-dimensional system is labeled with the coordinates 1 2 -2 what is the Z coordinate?
The answer is -2
What indicates a location?
Three coordinates suffice to define a location in space. On a surface only two coordinates are required.
How would the point where a ray intersects a three dimensional triangular plane be determined?
Presumably, the "three dimensional triangular plane" is actually a two dimensional plane which is "tilted" with respect to the axes. The point of intersection is simply the coordinates of the solution to the simultaneous equations for the line and the plane.
What is the graph of a line with a slope one half that contains the points -6 and 6?
' -6 ' and ' 6 ' are not points. On a 2-dimensional (flat) graph, you need two coordinates to locate one point. (On a 3-dimensional (solid) graph, you need three coordinates to locate one point. And there's no such thing as a 1-dimensional graph.)
What is the slope containing the points m equals -7 0 2.4?
There are only three coordinates. This indicates three points in 1-dimensional space (in which case there is no slope) or one point in 3-dimensional space (in which case there is no specific line).
What are the Cartesian coordinates of the vector represented by the keyword "r vector"?
The Cartesian coordinates of the vector represented by the keyword "r vector" are the x, y, and z components of the vector in a three-dimensional coordinate system.
A point in a coordinate system with integer coordinates?
Points with integer coordinates are often called lattice points. Lattices exist in all dimensions.When we talk about lattices points on the rectangular Cartesian coordinate system, this is a two dimensional lattice. Three dimensional lattice points are often used to study crystals.
How do you locate a point?
You can locate a point by associating it to coordinates, either in a two dimension plan, x, y, or three dimensional, x, y, z.
Which of these applies to form one dimensional two dimensional or three dimensional?
three dimensional
