Dimensional analysis is a mathematical technique used in physics and engineering to analyze and understand the relationships between physical quantities by examining their dimensions (units) rather than their specific numerical values. It provides a powerful tool for checking the consistency of equations, deriving relationships, and predicting the behavior of physical systems.

In dimensional analysis, the dimensions (such as length, time, mass, etc.) of various physical quantities involved in a problem are treated as variables, and their relationships are established based on the principles of dimensional homogeneity. The fundamental idea is that any meaningful physical equation must have consistent dimensions on both sides.