koordinátatriples

Koordinátatriples are a mathematical concept used to represent points in three-dimensional space. Similar to how a coordinate pair (x, y) defines a location on a 2D plane, a coordinate triple (x, y, z) specifies a unique position in a 3D Cartesian coordinate system. The x, y, and z values represent the distances from the origin along the respective axes. The origin itself is represented by the coordinate triple (0, 0, 0).

The first coordinate, x, is often referred to as the abscissa, the second, y, as the ordinate, and the third, z, as the applicate. These values are typically real numbers. The axes are mutually perpendicular and intersect at the origin. The x-axis is usually depicted horizontally, the y-axis vertically, and the z-axis extending outwards from the plane formed by the x and y axes.

In various fields, including physics, engineering, computer graphics, and geometry, coordinate triples are fundamental for defining positions, vectors, and transformations in three dimensions. For example, in computer graphics, a 3D model's vertices are often stored as coordinate triples. Understanding coordinate triples is essential for working with spatial data and performing calculations in three-dimensional environments.