CK1, If you were to hang a 9 foot hammock from a 7 foot span, you'd end up with a chair, or a very compacted hammock. You'll need to spread the hang points a few feet. If not your hammock will be at a severely exaggerated V. Not comfortable in my opinion.
Pedro makes another valid point, (he usually does) if you strung a spreader bar, then it would open up the hammock, and allow for a more comfortable lay in the hammock.
But the geometry or physics is all wrong going straight down from 7 feet. You can test this theory by placing a small nail into the points you feel are going to work and test hang an empty hammock (perhaps place a pillow to simulate your body weight).
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