Functions of Independent Random Variables and Correlation

Question

This may be a basic question, but let us say we have $s_1 \sim N(\mu_1,\sigma_1)$ and $s_2 \sim N(\mu_2,\sigma_2)$ where $s_1$ and $s_2$ are independent. Then consider functions $v_s(s_1,s_2)=s_1+\alpha s_2$ and $v_b(s_1,s_2) = s_2 + \beta s_1$ where $\alpha$ and $\beta$ are real valued scalars. My question is, does this imply $v_s$ and $v_b$ are correlated? My intuition tells me this must be so, however I don't know how to show it.