I've seen many questions asked about whether or not you need to be able to see your Mage Hand in order to control it. However, can Mage Hand be summoned through a wall or other such obstruction? Mage Hand's description states (PHB pg 256):
A spectral, floating hand appears at a point you choose within range. The hand lasts for the duration or until you dismiss it as an action. The hand vanishes if it is ever more than 30 ft away from you or if you cast this spell again.
The part I'm interested in is "a point you choose within range". So that brings me to my question: can you summon a mage hand at a point you cannot see? For example, on the other side of a wall or door; a point you know exists, but you simply cannot see from where you are.
Here's a hypothetical situation to hopefully help clarify my question. Say a caster needs to get into a room, but the door is locked. The caster wants to cast Mage Hand behind the door to then unlock it from the other side. Could they do that?