Learn Icelandic: Hún stefnir að stærsta bjarginu.

You've probably learned that prepositions of motion (like í or á) usually take the accusative case. However, að behaves differently. When að means "towards" a destination, target, or boundary, it strictly governs the dative case. The verb stefna (to head or aim) frequently pairs with að to mark the exact target being approached.

Does the verb stefna mean "to aim" like aiming a weapon?

Not usually. Stefna means "to head," "to set a course," or "to strive" in the sense of directing your path towards a goal. If you want to talk about aiming a physical weapon or a camera, you would use the verb miða instead.

Why does the adjective stærsta end in -a here?

Because it is paired with the definite noun bjarginu (the cliff), the adjective must use the weak declension. For a neuter noun in the dative case, the weak superlative ending is simply -a, making it stærsta.

How does the word bjarginu break down into its base word and endings?