From the book, given any two lines non intersecting lines in 3 space, any two planes each contains one of the lines can always make parallel to each other ( the two planes are parallel).(adsbygoogle = window.adsbygoogle || []).push({});

The way the book described is that given two lines, you can produce two vectorsV1 andV2, each parallel to one of the lines. Then by cross productV1 XV2, you get the normal vectorN. The vectorNis also the normal vector for both planes. Therefore the two planes are parallel.

Do you have a more convincing way to proof the two planes that contain the two individual non intersecting lines can be made parallel?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two planes contain two non intersecting lines can be made parallel?

**Physics Forums | Science Articles, Homework Help, Discussion**