Let a, b, c are three non-coplanar vectors such that \[{{\mathbf{r}}_{1}}=\mathbf{a}-\mathbf{b}+\mathbf{c},\,\,{{\mathbf{r}}_{2}}=\mathbf{b}+\mathbf{c}-\mathbf{a},\,\,{{\mathbf{r}}_{3}}=\mathbf{c}+\mathbf{a}+\mathbf{b},\] \[\mathbf{r}=2\mathbf{a}-3\mathbf{b}+4\mathbf{c}.\] If \[\mathbf{r}={{\lambda }_{1}}{{\mathbf{r}}_{1}}+{{\lambda }_{2}}{{\mathbf{r}}_{2}}+{{\lambda }_{3}}{{\mathbf{r}}_{3}},\] then

• A. \[{{\lambda }_{1}}=7\]
• B. \[{{\lambda }_{1}}+{{\lambda }_{3}}=3\]
• C. \[{{\lambda }_{1}}+{{\lambda }_{2}}+{{\lambda }_{3}}=4\]
• D. \[{{\lambda }_{3}}+{{\lambda }_{2}}=2\]