if a point in a 3 demensional system is labeled with the coordinates  1,2,-2  what is the z coordinate ?
443662
A three dimensional coordinate (point in space) reads (x,y,z).\nSo, (1,2,-2) = (x,y,z) clearly implies that x=1, y=2, and \nz= -2, as you required.
259436
-180 is just like 180 degrees (pi), so it's on the -1 position coordinate on the x-axis; between the 2nd and 3rd quadrant.
679983
Yes, I think you're right.  What vector is the x-axis?  Isn't it (x,0,0)?  And the yz-plane is perpendicular to the x-axis, so the dot product of the x-axis vector and any vector in the yz-plane should be 0, and of course (x,0,0)•(0,-1,3) = 0.
413913
x=0,2,3,4 and y=1,-1,0,3
863154
First find the length of the of z. Call the length L.\n\nL^2 = (sqrt(3))^2 + 1^2\nL^2 = 3 + 1 = 4\n\nL = 2.\n\nNow find the angle that x makes with the x axis. Call the angle t\n\ntan(t) = 1/sqrt(3)\nt = 30 degrees.\n\nSo in polar form, z = 2(angle sign)30 degrees
182640
I'm not sure if this is what you're asking, but if...\nd = length\nd-3 = width\n\nthen the area is d(d-3), a.k.a. d^2 - 3d .\n\nHope this helps!
95192
In normal 3-D space, a cube can be described by {(x,y,z) where 0<=x<=1, 0<=y<=1, 0<=z<=1}\n\nIn normal 4-D space, it's {(x,y,z,w) where 0<=x<=1, 0<=y<=1, 0<=z<=1, 0<=w<=1}\n\nIn n-space, an n-cube can be represented by all n-dimentional vectors where the nth coordinate lies in the closed interval [0, 1].
1166451
the Cartesian coordinate system is develop used to uniquely determine each point in the plane through two numbers, usually called the x-coordinate and the y-coordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis or abscissa and the y-axis or ordinate), are specified, as well as the unit length, which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions.\nCartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry. This work was influential in the development of analytic geometry, calculus, and cartography.\n\nThe idea of this system was developed in 1637 in two writings by Descartes. In part two of his Discourse on Method he introduces the new idea of specifying the position of a point or object on a surface, using two intersecting axes as measuring guides. In La Géométrie, he further explores the above-mentioned concepts.
194321
there are three defined axes in coordinate system.\nx-axis\ny-axis\nz-axis\nalthough Einstein in the last days of his life started talking about fourth-axis.\nthat is still undefined.\nfor present,coordinate system,there are three axes only.
7772
You can.  Use the mapping (x, y, z) -> x.  Of course, that is a many-to-one mapping, and kind of useless.
998200
Polar\nits use to converse from dimensional to polar.\nexp\n(3,4) --> (5;53)\nits mean 5 for radius and 53degree
265237
3s = -6\ndivide each side by 3\ns = -2
619069
the parabola will be at the point 2,2 and shaped like a "u"
115042
I believe you are talking about Cartesian coordinates, right?
985452
Firstly, there is a formula. However, its quite easy to forget - so why not learn how to actually come up with it?\nSuppose you are given coordinates (a,b) in the first system. That really corresponds to the point a[2,1] + b[2,0]. Writing that in matrix form, we have: (// denoting next line)\n[2 2 // 1 0][a // b]\nNow, we want to express it as c[-2,-1]+d[0,1]. Writing that in matrix form we have:\n[-2 0 // -1 1][c // d].\nSo how do we work out [c // d]? Just multiply on the left by the inverse of that second matrix.\nSo it would be [-2 0 // -1 1]^(-1) * [2 2 // 1 0].\nThat turns out to be [-1 -1 // 0 -1].
185652
since your ddoing coordinate geometry you should at least tell what shape you're trying to get.\nI'm assuming it's a parallelogram so u should make it (1,8)
1099549
Negative x value, because its a two dimensional grid so theres no third value. Y value will be unknowns since you dont give any info with respect to the y value. I believe this is correct.