arrogant and conceited

English as a Second Language English Vocabulary, Grammar and Idioms
1

I have hard time understanding what is the difference between these two words. I would appreciate if you explain in detailed explanation.

2

To me, “conceited” feels more “inward looking” (to do with the way you view yourself), and “arrogant” feels more “outward looking” (to do with the way you treat and interact with others).

3

Hi,
In case you’re eager to get more information:arrogant | meaning of arrogant in Longman Dictionary of Contemporary English | LDOCE

4

Regarding the sentence “I would appreciate if you explain in detailed explanation.” I wonder if these sentences below could be correct.

I would appreciate if you explained in detail.
I would appreciate if you gave a detailed explanation.

Thanks

5

You know they are.