Any vector may be considered to be composed of which other vectors?

Any vector can indeed be understood as being composed of components of the original vector. In vector analysis, this concept is fundamental; it establishes that any vector quantity, such as force, velocity, or displacement, can be broken down into its components along specific axes, typically in a two-dimensional or three-dimensional Cartesian coordinate system.

This decomposition is often used in physics and engineering to simplify complex problems. By expressing a vector in terms of its components, calculations become more manageable, especially when applying methods like the Pythagorean theorem or trigonometric identities to find magnitudes and directions.

For example, if you have a vector illustrated on a coordinate graph, you can break it down into its horizontal (x) and vertical (y) components. This aspect is crucial when analyzing resultant forces, resolving loads in structural engineering, or dealing with motion in various laws of physics, as it allows one to address each direction's influence separately.

The other options do not accurately convey this concept. While "resultants" relate to vectors produced from combining multiple vectors, they do not directly address the nature of decomposition. "Scalar quantities of the resultant" refers to magnitudes only and fails to capture vector direction, which is essential. "Static of motion" indicates conditions