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## Homework Statement

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.

## Homework Equations

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?