Question: A hydrologist models the flow of groundwater in a 3D aquifer using vectors. If the flow vector $\vecf = \beginpmatrix 4 \\ -2 \\ 5 \endpmatrix$ represents the direction and rate of flow, find the point on the line $\vecr(t) = \beginpmatrix 1 \\ 0 \\ -3 \endpmatrix + t\beginpmatrix 2 \\ 1 \\ -1 \endpmatrix$ that is closest to the point $P = (3, -1, 2)$. - Crosslake