Vectors: lines and perpendicular feet

Compare $\mathbf r=(1,2,0)+t(2,-1,2)$ with $\mathbf r=(1,2,0)+s(-4,2,-4)$. Predict whether the geometric line changes, then match the points at $t=0,1,2$ using values of $s$. Compare the distances from the base point with the parameter magnitudes. Finally suppose each parameter is elapsed seconds from a common start: explain how the motions differ even though the supporting line is the same.