The Cartesian coordinate system can be used in 3 or more dimensions.
Possibly because the first time that pupils are introduced to the name and concept it is has only two dimensions. These are usually represented as horizontal (x) and vertical (y) coordinates. Actually, many children meet the concept - in its 1-dimensional form - as the number line. It is not called a Cartesian coordinate system then, and they make only simple use of it. The Cartesian coordinate system is normally extended to 3-dimensional space in high school coordinate geometry when it is obviously not called a plane, and to multi-dimensional hyperspaces in advanced mathematics or physics.
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Hey, With 2 axes its x and y with 3 its x,y and z Toby
The most obvious is to plot relationships between one quantity and another. If for every thing you sell, you make 3 dollars, then you could express that as the equation y=3x and plot that using the Cartesian coordinate system. (where y would represent dollars and x would represent items sold)
The Cartesian coordinate system can be used in 3 or more dimensions.
Yes, the Cartesian coordinate system is routinely extended to 3 and more dimensions. In 3-d the location of each point is determined by an ordered triple, usually denoted (x,y,z), with corresponding extensions to more dimensions.
As many as the number of dimensions that the coordinate system represents. 2 if it is 2-dimensional plane, 3 if 3-d space and so on.
Possibly because the first time that pupils are introduced to the name and concept it is has only two dimensions. These are usually represented as horizontal (x) and vertical (y) coordinates. Actually, many children meet the concept - in its 1-dimensional form - as the number line. It is not called a Cartesian coordinate system then, and they make only simple use of it. The Cartesian coordinate system is normally extended to 3-dimensional space in high school coordinate geometry when it is obviously not called a plane, and to multi-dimensional hyperspaces in advanced mathematics or physics.
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It is a point on the coordinate grid. The grid may be the Cartesian or coordinate plane, or its equivalent in 3 or more dimensions. It could also refer to a grid where the axes are not at right angles to one another (eg isometric grid).
Polar coordinates in 3 dimensions.
Hey, With 2 axes its x and y with 3 its x,y and z Toby
If the y axis is part of the Cartesian coordinate system, then the other coordinate is zero.Their x-axis value is 0.
The most obvious is to plot relationships between one quantity and another. If for every thing you sell, you make 3 dollars, then you could express that as the equation y=3x and plot that using the Cartesian coordinate system. (where y would represent dollars and x would represent items sold)
The distance is about 7.62 (units).sqrt (9 + 49) = sqrt 58 = 7.61577