Learn Dutch: Waar is de blauwe jas? - Where is the blue coat?

When an adjective comes directly before a noun to describe it, it usually gets an -e added to the end. The dictionary form for 'blue' is blauw, but here it becomes blauwe because it sits right in front of jas.

Does the -e on blauwe change if the noun is a het word instead of a de word?

Not when you use a specific word for 'the'! Whenever you use a definite article (de or het), the adjective right before the noun gets an -e. So you say de blauwe jas, and you would also say het blauwe boek (the blue book).

When would I use the dictionary form blauw without the -e?

You leave off the -e when the adjective comes after the noun, like in the sentence De jas is blauw (The coat is blue). You also leave it off when using 'a' (een) with a het word, like een blauw boek. Because jas is a de word, it still gets the -e even with 'a': een blauwe jas.

Is the word order here identical to English?