Final answer:
The principle of homogeneity of dimensions ensures dimensional consistency in mathematical equations relating to physical quantities.
Step-by-step explanation:
The principle of homogeneity of dimensions is the basis of ensuring dimensional consistency in mathematical equations that relate to physical quantities. According to this principle, all terms in an equation must have the same dimensions, and the arguments of any standard mathematical functions should be dimensionless. By checking the dimensions of the individual physical quantities in an equation, we can determine if the equation is dimensionally consistent.