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The three axes in a Cartesian coordinate system are the x-axis, y-axis, and z-axis. The x-axis typically represents horizontal values, the y-axis represents vertical values, and the z-axis represents depth, adding a third dimension. Together, these axes define a three-dimensional space where any point can be located using an ordered triplet of coordinates (x, y, z).
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Can the cartesian coordinate system have 3 dimensions?
Yes and its imaginary axis is z. ============================ I have a 3-dimensional Cartesian coordinate system with all three axes real. Its origin is the point where the floor and two walls of my bedroom meet.
What 3-D is in relation to the Cartesian coordinate system?
The Cartesian coordinate system can be used in 3 or more dimensions.
How do you determine which numbers go on y-axis versus x-axis?
Because the x coordinate is always followed by the y coordinate as for example the coordinate of (3, 6) is 3 of x horizontally and 6 of y vertically on the Cartesian plane
What is the abscissa is positive and the ordinate is negative?
When the abscissa (x-coordinate) is positive and the ordinate (y-coordinate) is negative, the point lies in the fourth quadrant of the Cartesian coordinate system. This means the point has a location where it is to the right of the y-axis and below the x-axis. An example of such a point would be (3, -2).
What is the y coordinate?
The y-coordinate is the vertical value in a Cartesian coordinate system, indicating a point's position relative to the horizontal x-axis. It is typically represented as the second number in an ordered pair (x, y). For example, in the point (3, 5), the y-coordinate is 5, meaning the point is located 5 units above the x-axis.
Can the cartesian coordinate system have 3 dimensions?
Yes and its imaginary axis is z. ============================ I have a 3-dimensional Cartesian coordinate system with all three axes real. Its origin is the point where the floor and two walls of my bedroom meet.
What 3-D is in relation to the Cartesian coordinate system?
The Cartesian coordinate system can be used in 3 or more dimensions.
The point 0-3 would lie on which axis?
The point (0, -3) lies on the y-axis. In a Cartesian coordinate system, the first value represents the x-coordinate and the second value represents the y-coordinate. Since the x-coordinate is 0, the point is located directly on the y-axis at the position -3.
What do all the points on the y axis have in common?
If the y axis is part of the Cartesian coordinate system, then the other coordinate is zero.Their x-axis value is 0.
The number lines that form the Cartesian coordinate system are called the what?
'Axes'. Linear ; x- axis 2- dimensional ; x-axis and y-axid. 3-dimensional ; x-axis, y-axis, and z-axis.
How do you determine which numbers go on y-axis versus x-axis?
Because the x coordinate is always followed by the y coordinate as for example the coordinate of (3, 6) is 3 of x horizontally and 6 of y vertically on the Cartesian plane
What is the abscissa is positive and the ordinate is negative?
When the abscissa (x-coordinate) is positive and the ordinate (y-coordinate) is negative, the point lies in the fourth quadrant of the Cartesian coordinate system. This means the point has a location where it is to the right of the y-axis and below the x-axis. An example of such a point would be (3, -2).
What is the Definition of Cartesian coordinate system?
A system for identifying points on a plane or in space by their coordinates is called a Cartesian coordinate system.In a plane (2-dimensional), the Cartesian coordinate system is determined by the two perpendicular directed lines Ox as x-axis, and Oy as y-axis (where the point of intersection O is the origin) and the given unit length.For any point P in the plane, let M and Nbe points on the x-axis and y-axis such that PM is parallel to y-axis and PN is parallel to x-axis. If OM = x and ON = y, then (x, y) are the coordinates of the point P in this Cartesian coordinate system.Normally, Ox and Oy are chosen so that an an anticlockwise rotation of one right angle takes the positive x-direction to the positive y-direction.In 3-dimensional space, the Cartesian coordinate system is determined by the three mutually perpendicular directed lines Ox as x-axis, and Oy as y-axis,and OZ as z-axis (where the point of intersection O is the origin).For any point P in a space, let L be the point where the plane through P, parallel to the plane containing the y-axis and z-axis, meets the x-axis. Alternatively, L is the point on the x-axis such that PL is perpendicular to the x-axis. Let M and N be points on the y-axis and z-axis. The points L, M, and N are in fact three of vertixes of the cuboid with three of its edges along the coordinate axes and with O and P as opposite vertixes. If OL = x and OM = y, and ON = z, then (x, y, z) are the coordinates of the point P in this Cartesian coordinate system.
What is the y coordinate?
The y-coordinate is the vertical value in a Cartesian coordinate system, indicating a point's position relative to the horizontal x-axis. It is typically represented as the second number in an ordered pair (x, y). For example, in the point (3, 5), the y-coordinate is 5, meaning the point is located 5 units above the x-axis.
What quadrant is 5-3 located in?
8
What is the distance between the origin of a Cartesian coordinate system and the point -5 -8?
3
What is 3 units away from x-axis and 3 units away from the y-axis?
0
