Hello. I'm planning to put up an interior wall in the house and I've started planning, but I'm stuck on 2 problems...

Problem 1: the ceiling where I need to attach the upper corresponding beam isn't suitable for screwing into. There are, however, 2 roof trusses to attach to, but only at 2 attachment points. The other two walls won't be able to be attached to the ceiling... is it still possible to make this stable? See the sketch! It's a bit sloppy and probably not very to scale.

Problem 2: the beam at the far end of the slanted wall needs to be split to fit, what's the best way to do that?!
 
The sketch is not visible :(

So without having seen the sketch, it might be possible to kottla between the rafters above the ceiling to have more to attach to? If it is even necessary, that is?
 
A table saw is best for splitting a plank. But if it's a plank that will be built in and the finish isn't important, you can use any saw that gets the job done (circular saw, jigsaw, handsaw, etc.).
 
Welcome here!

Two anchoring points may be sufficient if you also glue, depending on how long the wall is.

To split a stud if you have a circular saw or plunge saw, place the stud next to a couple of other studs so you have a wide enough surface to rest the saw on, and then you cut. A regular handsaw works as well but requires a bit more muscle...
 
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