For some a, b, let
$$
f(x)=\left|\begin{array}{ccc}
a+\frac{\sin x}{x} & 1 & \mathbf{b} \\
\mathbf{a} & 1+\frac{\sin x}{x} & \mathbf{b} \\
\mathbf{a} & 1 & \mathbf{b}+\frac{\sin x}{x}
\end{array}\right|, x \neq 0, \lim _{x \rightarrow 0} f(x)=\lambda+\mu \mathbf{a}+v \mathbf{b}
$$
. Then $(\lambda+\mu+v)^2$ is equal to :