In all honesty, I think the power isn't necessary. Instead, the Wing Manifestation power could have its capabilities rewritten to include users who cannot fly as well as those who can fly. I could help out with it when I'm back. Still, I see where you're coming from and I'm surprised nobody else caught this sooner. Zatalliya (talk) 20:56, February 5, 2020 (UTC)
As of late I've been pretty busy, so I'm sorry about not replying to you earlier. Personally, I think that Vector Telekinesis refers to the use of telekinetic "lines" (vectors-shaped things in the real world, since the tail is from the hand and the head is wherever the line hits). It's a variation of telekinesis in which the power manifests as a vector, with a direction and...I suppose either the length or some amount of force behind it.
Vector Manipulation, on the other hand, would be the manipulation of vector quantities in the real world. Vectors can represent forces & acceleration, velocity, positions, directions, objects - and someone who can manipulate vectors has control over vector quantities. It's a way of manipulating the world around the user through a mathematical lens.
So tl;dr - Vector Telekinesis is just a variation of telekinesis that uses lines. Vector Manipulation is the manipulation of vector quantities (a mathematical concept) in the real world. Hope this helps, and sorry for the short reply! (: Zatalliya (talk) 01:25, February 8, 2020 (UTC)