This is the 7929th most frequent Russian word.
китайская
"Китайская" means "Chinese" in English.
Here, 'китайская' is used as an adjective to describe the origin (related to China) of the noun 'ваза' (vase).
Я купил китайскую вазу.
I bought a Chinese vase.
In this sentence, 'китайская' qualifies 'кухня' (cuisine), conveying the type or style associated with China.
Китайская кухня очень разнообразна.
Chinese cuisine is very diverse.
The adjective 'китайская' describes the attribute of the noun 'книгу' (book), indicating its association with China, possibly in language or subject.