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Question: How to Test if Two Lines are Identical, Parallel, or Skew?

Question:How to Test if Two Lines are Identical, Parallel, or Skew?

DJJerome1976 535 Maple
December 22 2019
0

I am working with lines in 2- and 3-space, defined parametrically. In 2-space, how would I go about using Maple to determine if the lines are identical or parallel. For example, if L1:=<2-4*t,5+6*t>, L2:=<-6-12t,17+18t>, L3:=<20t,-30t>, I would like a procedure that would be able to determine that L1 and L2 are identical lines, and that L1 and L3 are parallel lines. Similarly, it would be able to determine if lines in 3-space, are identical, parallel, or skew. 

 

I was looking into the geometry package, but I don't think it allows me to do this.

 

Thanks!
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