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  1. The coordinate surfaces of the Cartesian coordinates (x, y, z). The z-axis is vertical and the x-axis is highlighted in green. Thus, the red plane shows the points with x = 1, the blue plane shows the points with z = 1, and the yellow plane shows the points with y = −1.

  2. The most common choices for axis or rotation are the coordinates axes, that is, the x-axis, the y-axis, or the z-axis. Sometimes, however, it’s convenient to be able to use a different line as the axis.

  3. Vehicle Dynamics Blockset™ uses these coordinate systems to calculate the vehicle dynamics and position objects in the 3D visualization environment. The right-hand rule establishes the X - Y - Z sequence and rotation of the coordinate axes used to calculate the vehicle dynamics.

  4. Definition. The three-dimensional rectangular coordinate system consists of three perpendicular axes: the x -axis, the y -axis, the z -axis, and an origin at the point of intersection (0) of the axes. Because each axis is a number line representing all real numbers in ℝ, the three-dimensional system is often denoted by ℝ3.

  5. The xyz coordinate axis system, denoted 3, is represented by three real number lines meeting at a common point, called the origin. The three number lines are called the x-axis, the y-axis, and the z-axis. Together, the three axes are called the coordinate axes.

  6. In the cartesian system, the x-coordinate of a point is its perpendicular distance from the y-axis. It is measured along the x-axis which is positive along the positive direction and negative along the negative direction. For point P, it is +5 on the positive x-axis. This x-coordinate is called the abscissa.

  7. The x x -axis is the horizontal line along which the wall to your left and the floor intersect. The y y -axis is the horizontal line along which the wall to your right and the floor intersect. The z z -axis is the vertical line along which the walls intersect.

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