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.
I know that skew lines are not parallel or intersect. Also, they don't lie on the same plane.
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?