What is Cartesian Space?

Answer 1

Same as "Euclidean space" read the article I linked below

Answer 2

Cartesian Space is where a single point is described by three numbers (x,y,z). If you are familiar with the cartesian plane it is actually Cartesian Space where all points are located at (x,y,0). You can think of Cartesian Space as infinite Cartesian planes stack on top of one another.

Answer 3

"Cartesian Coordinates in Space
In cartesian coordinates (or rectangular coordinates), a point P is referred to by three real numbers, indicating the positions of the perpendicular projections from the point to three fixed, perpendicular, graduated lines, called the axes. If the coordinates are denoted x, y, z, in that order, the axes are called the x-axis, etc., and we write P=(x,y,z). Often the x-axis is imagined to be horizontal and pointing roughly toward the viewer (out of the page), the y-axis also horizontal and pointing more or less to the right, and the z-axis vertical, pointing up. The system is called right-handed if it can be rotated so the three axes are in this position."
Check out the link because you get a diagram which makes it easier to understand the words.

Answer 4

Euclidean n-space, sometimes called Cartesian space or simply n-space, is the space of all n-tuples of real numbers, (x_1, x_2, ..., x_n). It is commonly denoted R^n, although older literature uses the symbol E^n (or actually, its non-doublestruck variant E^n; O'Neill 1966, p. 3).

R^n is a vector space and has Lebesgue covering dimension n. Elements of R^n are called n-vectors. R^1==R is the set of real numbers (i.e., the real line), and R^2 is called the Euclidean plane. In Euclidean space, covariant and contravariant quantities are equivalent so e^->^j==e^->_j.

Answer 5

Space defined by Cartesian coordinates. Straight lines, flat planes. Ordinary, common-sense, undistorted three-space. As compared with the funny bendable stuff astronomers and physicists use.

Answer 6

It's the same as Euclidean space. Mathematically, it's just a set of n-tuples, like 3 dimensional euclidean is a set of 3-uples, i.e. (1,1,1), (2,4,3), ... The idea is that any point in 3 dimensional space can be described by 3 numbers, which are positions on an x, y, and z axis.

Answer 7

3-dimensional space.

Cartesian coordinates (named for Rene DeCartes) define points in space by use of numbers relative to some fixed point.

In 2-dimensional space we use x to identify how far to the right (or left) of point 0,0 and y to identify how far above (or below) point 0,0 somthing is.

So point (2,3) is right 2 and up 3 from point (0,0).

Point (-6, -8) is left 6 and down 8 from (0,0).

In 3-dimensional space we add the 3rd dimension and call it z.

It's very useful for plotting functions:

If y = x2 +25 we can plot many values for y based on values of x for example. If x = 1 then y = 26 so (1,26) is on our graph. Similarly with (2,29) and (3,34) and (4, 41) ...

Answer 8

It is the same as Euclidean space or "any ordinary two or three dimensional space"

http://en.wiktionary.org/wiki/Euclidean_space

Answer 9

http://en.wiktionary.org/wiki/Cartesian_space