1. The problem statement, all variables and given/known data Suppose L1 and L2 are skew lines. Is it possible for a non-zero vector to be perpendicular to both L1 and L2? Give reasons for your answers. 2. Relevant equations I know that skew lines are not parallel or intersect. Also, they don't lie on the same plane. 3. The attempt at a solution I say that it is possible. Picture a line on the x axis on (x,0,0) and a line on the y-axis exactly above the previous line but with height or z=5. I can easily draw a vector that is perpendicular to both L1 and L2. Am I correct?