(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Skew Lines Conceptual Problem

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