I am relatively new to programming in Mathematica (so please excuse my novice code) and am having trouble displaying the updated values of my constants c1, c2, ... , c8 which are displaying to the right if my controls for v1, v2, ... , v8. So as I move the sliders for a1, a2, ... , a8, the values of c1, c2, ... , c8 should be updating.
Also, if you can identify which part of my code is causing the program to run so slowly, that would be appreciated. As I move the sliders, there is a delay in the update of the bar charts.
Everything inside the Manipulate gets re-evaluated on every update, but a large part of what you have there is constant, like the vector constant, the plot, ... plot. My advice is to move out of the Manipulate body as much as possible, the Initialization option could be useful for this. Also, for better updating control and performance I would use a DynamicModule instead of a Manipulate.