What are the limitations of dimensional analysis?

Explanation

The limitations are constants in the formula like 1, 2, ……….`pi`, e, etc.
(i) This method cannot decide whether the given quantity is a vector of a scalar.
(ii) By this method the value of dimensionless constants be calculated.
(iii) It is not suitable to derive relations involving trigonometric, exponential and logarithmic functions.
(iv) It cannot be applied to an equation involving more than three physical quanities.
It can only verify whether a physical relation is dimensionally correct but not the correctness of the relation. For instance using dimensional analysis, `s=ut+(1)/(3)at^(2)` is dimensionally correct whereas the correct relation is `s=ut+(1)/(2)at^(2)`.