Answer:
117, 55, 54, 77, 130, 7h + 5x, 14
Step-by-step explanation:
Volume of a cube: V = s^3, where s is the length of the edge.
So, the sum of them will be 1^3 + 2^3 = 9
That depends on if there is a 90-degree angle within the triangle or not.
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.