Coordinate in free space refers to a set of values used to specify the position of a point in a three-dimensional space. This system is often used in mathematics, physics, and engineering to represent the location of an object in a three-dimensional space. In this system, three coordinates are used to represent the position of a point: x, y, and z. These coordinates represent the distance of the point from the origin (0,0,0) in the x, y, and z directions, respectively.
For example, if a point is at the position (3,4,5), this means it is 3 units away from the origin in the x direction, 4 units away in the y direction, and 5 units away in the z
The distance formula is a mathematical formula used to calculate the distance between two points in a three-dimensional space. The formula is as follows:
d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where d is the distance between the two points, (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points, and the symbols ^2 represent squaring.
