The final answer is \boxed-6.Question: An anthropologist models the migration paths of two ancient tribes as vectors $\vecu = \beginpmatrix 3 \\ -1 \\ 2 \endpmatrix$ and $\vecv = \beginpmatrix -2 \\ 4 \\ 1 \endpmatrix$. There exists a vector $\vecw = \beginpmatrix a \\ b \\ c \endpmatrix$ such that $\vecw = 2\vecu - 3\vecv$. Find $\vecw$. - Abu Waleed Tea