Plotting Points in Three Dimensional Coordinate Systems
Plot the point in the 3D coordinate system.
In a 3D coordinate system, plotting a point like P(2, 4, 3) involves understanding the three axes: the x-axis, the y-axis, and the z-axis. These axes are all perpendicular to each other and meet at the origin, which is the point (0, 0, 0). The x-axis runs horizontally from left to right, the y-axis runs horizontally from front to back, and the z-axis runs vertically, representing height.
To plot the point P(2, 4, 3), start by moving 2 units along the x-axis. Next, move 4 units along the y-axis, heading toward the back of the coordinate system. Finally, move upward by 3 units along the z-axis. The point P is located at the intersection of these three movements, giving you the location in space. The point lies above the x-y plane because of its positive z-coordinate, forming a cube-like shape if you visualize all three coordinates as the edges of a box.
Visualizing in 3D can be tricky at first, but remember that each number in the coordinate tells you how far to move along one of the three axes.