It appears you have the metal pipes that run from the firewall to the heater core?
Assume you have a "T" on them to plump the rear heater also? If you do not have a rear heater, make sure they are plugged or looped, or something... (I ran hose straight from one to the other, probably decreased the flow to my heater, and using the same size hose as everything else on the system felt like it was too large, but just tightened the clamp to make up for that...).
The hose pointed up connects to the valve that should be mounted an inch or two above it. The other end of the valve connects to the fitting on the back of the cylinder head.
A hose from the other metal pipe connects to a "T" fitting on a pipe in the lower radiator hose (part #1657761040, if you need it). New, there is a metal pipe running most of the length of the engine, mounted on the bolts holding the push rod cover. If your running any large cap HEI distributor, this pipe will be in it's way. I just replaced mine with hose, haven't had it running like this yet though, expect many other people have found other work arounds for the distributor clearance or just not wanting to spend money for that stock pipe.
Inside the firewall, I'm pretty sure those pipes only fit one way. But other than just fitting based on shape and length, I can't imagine why it matters which side the water goes in and comes out of the heater core.