Learn Turkish: Asansördeki krokiye bakar mısın? - Would you look at the floor plan in the elevator?

The suffix -ki attaches to the locative ending -de (in/at) to mean "the one which is in". It turns a location into an adjective. Here, asansördeki kroki translates to "the floor plan [that is] in the elevator".

Why is it krokiye instead of the accusative krokiyi?

The verb bakmak (to look) always requires the dative case (-(y)e or -(y)a) for the object being looked at. The -y- is just a buffer letter. Even though we say "look at" in English, Turkish logic directs your gaze to the object.

If I wanted to ask "Where would you look?", would I use neresi like we learned in this lesson?

No, you would use nereye. This lesson focuses on neresi when asking about a place as a subject or direct object (like "Where is this place?"). But because bakmak strictly takes the dative direction case (as you see with krokiye), the question word must match it: Nereye bakar mısın? (To where would you look?).

Why use the aorist tense (bakar) instead of the present continuous (bakıyor) here?

Using the aorist tense (the "broad tense") is the standard way to make a polite request in Turkish. While bakıyor musun? simply asks for a fact ("Are you looking right now?"), bakar mısın? acts as a request: "Would you look?" or "Could you look?".