This preview shows page 1. Sign up to view the full content.
Unformatted text preview: v 1 = a 2 , 3 , 1 A , and L 2 is parallel to the vector v 2 = a 1 , 1 , 3 A . Since these vectors are not parallel, it follows that L 1 and L 2 are not parallel. To see whether they intersect, we need to nd a solution (if any) to the linear system: 1 + 2 t = 1 + s, 3 t = 4 + s, 2 t = 1 + 3 s. Solving the rst two equations for t and s yields t = 6 and s = 14. But the third equation is not satised, so we conclude that this system has no solution. Therefore the lines are skew (ie, they do not intersect)....
View Full
Document
 Spring '08
 Helton
 Vectors

Click to edit the document details