A dimensionally correct equation _____ be a correct equation, and a dimensionally incorrect equation _____ be incorrect. The words (in order) to be filled in the blank spaces are

There are many quantities which have same dimension hence due to this reason it may be possible that an equation which is dimensionally correct is incorrect. $\mathit{e}.\mathit{g}$.

Kinetic energy $=\overrightarrow{r}\times \overrightarrow{F}$
is dimensionally correct but it is an incorrect relation.

Hence, A dimensionally correct equation may be a correct equation, and a dimensionally incorrect equation must be incorrect.