'separate dimensions' is correct and usable English.
You can use it when discussing different aspects of a topic, or discussing the differences between two things. For example, "This problem has two separate dimensions: practical solutions and emotional considerations."
It doesn't have an enormous admissions office grading applicants along four separate dimensions of toughness and intelligence.
They are so utterly and completely different from each other that they seem almost to exist in separate dimensions.
In today's resource-challenged climate, it seems all too often strategic planning and programmatic reality live in separate dimensions.
Because they are constructed to be orthogonal, we can interpret them more easily as separate dimensions of variation.
We explored the interaction of these separate dimensions on user perception of the system using a controlled study design.
The governing equation for these problems contains separate dimensions for age and time and its solutions are more involved than the solute transport or steady-state age equations.
Conclusions: Hospital safety climate with regards to bloodborne pathogens can be measured by using a short, 20-question scale that measures 6 separate dimensions.
That is, it has been an open question whether agricultural intensity and landscape simplicity should be regarded as one single or as two separate dimensions.
Our study reveals how two separate dimensions of board composition the proportion of independent directors and of non-independent directors influence CEO compensation in Western European firms.
Among the means several separate dimensions can be identified: the operational, technical and organizational.
These dimensions loaded on four separate dimensions in the original study by Aida (1994).
