Final answer:
The question seems to blend concepts of mathematics and physics incorrectly by mixing steady-state vector terminology with vector algebra strategies. To address the problem accurately, the context of the steady-state vector needs clarification.
Step-by-step explanation:
To find a steady-state vector, we need to look at the context provided, which might typically involve a Markov chain or a system described by a set of linear equations. However, since the provided strategy and solution prompts are more aligned with physics and vector algebra, there appears to be a discrepancy in the given question. Therefore, it's important to clarify the context of the steady-state vector reference before proceeding with a solution.
For instance, in vector algebra, we might be solving for unknown vectors or analyzing vector components and their magnitudes, possibly in relation to forces, velocities, or other physical quantities. In such a case, we need to isolate the unknown vector, use appropriate equations, and group terms to find the vector components such as Cx, Cy, and so on. This could involve techniques such as substitution and rearrangement of equations, vector addition, and scalars multiplication.