ykomponentti

Ykomponentti is a term used in mathematics, physics, and engineering to denote the Y component of a vector or the second coordinate in a Cartesian coordinate system. In a three-dimensional cartesian system, a vector is written as v = (x, y, z); the Ykomponentti of v is y. In two dimensions, for v = (x, y), the Ykomponentti is still y. The concept is analogous to the Xkomponentti and Zkomponentti, which refer to the first and third coordinates, respectively.

The Ykomponentti can be obtained by selecting the second component of the vector, or by the dot product with the unit basis vector along the Y axis, j = (0, 1, 0): y = v · j. It is also equal to the projection of the vector onto the Y axis, representing how large the vector extends in the vertical direction of the chosen coordinate frame. In applications, this decomposition into components helps analyze directional contributions such as forces, velocities, or fields along specific axes.

Examples help illustrate the idea. The vector v = (3, 4, 5) has a Ykomponentti of 4. In 2D, v = (7, -2) has Ykomponentti -2. In alternative coordinate systems, the relationship between the Ykomponentti and the original magnitude can be expressed through trigonometric relations, such as y = r sin(phi) in polar coordinates, or y = r sin(phi) sin(theta) in spherical coordinates, depending on the convention chosen for angles.

See also: Xkomponentti, Zkomponentti, coordinate systems, vector decomposition.