So I'm making a plugin for gun developers like me to CFrame their character's arms and then printing out the CFrame they've produced. Pretty easy, right? Not when you think of some necessary features like local and global movement. The increments will be easy for me, not so much the local movement. I know how to make it move locally forward and backward. You do this:
Part.CFrame = Part.CFrame * (Part.CFrame.lookvector * 3) --This would make it go forward locally 3 studs
Part.CFrame = Part.CFrame * (Part.CFrame.lookvector / 3) --This would make it go backward locally 3 studs
(If I'm wrong about that, then please, please correct me)
But how would I go moving the part up, down, left, or right locally? I simply can't think of anything...!

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Thanks a lot! I'm still confused as of how to rotate globally, but I'll make a separate question for that