Vector Algebra

Let $\overrightarrow a$ , $\overrightarrow b$ and $\overrightarrow c$ be three unit vectors such that $\overrightarrow a + \vec b + \overrightarrow c = \overrightarrow 0$. If $\lambda = \overrightarrow a .\vec b + \vec b.\overrightarrow c + \overrightarrow c .\overrightarrow a$ and $\overrightarrow d = \overrightarrow a \times \vec b + \vec b \times \overrightarrow c + \overrightarrow c \times \overrightarrow a$, then the ordered pair, $\left( {\lambda ,\overrightarrow d } \right)$ is equal to :