S1- Elements of mechanics (Physics 1)

Dimensional analysis is a method used to verify the consistency of physical equations by ensuring that all quantities involved share the same fundamental dimensions (length [L], mass [M], time [T], etc.). It helps to understand the relationships between variables in a phenomenon and to build simplified physical models using dimensionless quantities. Vectors, on the other hand, are mathematical entities defined by a direction, a sense, and a magnitude. They represent physical quantities such as force, velocity, and acceleration. Vector operations addition, dot product, and cross product are used to describe interactions and motion in space. Together, these concepts form the foundation of rigorous physical reasoning applied throughout all fields of engineering.