(Step-by-Step) Determine whether the lines L_1:x=1+t, y=2+3t, z=3+t , L_2:x=1+t, y=3+4t, z=4+2t , are parallel, intersecting or skew. If they intersect,
Question: Determine whether the lines
\[\begin{aligned} & {{L}_{1}}:x=1+t,\,y=2+3t,\,z=3+t \\ & {{L}_{2}}:x=1+t,\,y=3+4t,\,\,z=4+2t \\ \end{aligned}\]are parallel, intersecting or skew. If they intersect, find the point of intersection.
Deliverable: Word Document 
(All Steps) Let L be the line given by x=2-t, y=1+t, z=1+2t. L
(All Steps) Find the coordinates of the point(s) of intersection
![[See Steps] Find the distance between the](/images/solutions/MC-solution-library-39642.jpg "[See Steps] Find the distance between the following two skew lines L_1:(x-1)/(2)=(y-3)/(5)=(z-1)/(3)")
[See Steps] Find the distance between the following two skew lines L_1:(x-1)/(2)=(y-3)/(5)=(z-1)/(3)
Solution: Find the distance between the planes: 3x+y-4z=2,
(Step-by-Step) Find the distance from the origin to the line x=1+t,
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