A 3-D coordinate plane is a mathematical system used to locate and plot points in three-dimensional space. It is made up of three axes: the x-axis, the y-axis, and the z-axis. Each axis represents a different dimension, and the intersection of these axes forms a point in 3-D space.
To plot a point on a 3-D coordinate plane, you need to have three coordinates: the x-coordinate, the y-coordinate, and the z-coordinate. These coordinates represent the distance from the origin point, which is where all three axes intersect. You can plot the point by moving along each axis and marking the correct distance from the origin.
The purpose of a 3-D coordinate plane is to precisely locate and plot points in three-dimensional space. This is useful in various fields such as mathematics, physics, engineering, and computer graphics. It allows for a better understanding and visualization of three-dimensional objects and their relationships.
The main difference between 2-D and 3-D coordinate planes is the number of axes. A 2-D coordinate plane has two axes (x and y), while a 3-D coordinate plane has three axes (x, y, and z). This means that 2-D coordinates are represented by two numbers, while 3-D coordinates are represented by three numbers. Additionally, 3-D coordinates allow for the plotting of points in three-dimensional space, while 2-D coordinates can only plot points on a flat surface.
Negative coordinates on a 3-D coordinate plane are represented by moving in the opposite direction of the positive coordinates on each axis. For example, a point with coordinates (-2, 3, -4) would be located two units to the left on the x-axis, three units up on the y-axis, and four units behind on the z-axis from the origin point.
