(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine if the linesr_{1}=<1+2s,3+2s,2-2s> andr_{2}=<2+t,6-t,-2+t> are parallel, intersecting, or skew. If they intersect, find the point of intersection.

2. Relevant equations

x: 1+2s=2+t

y: 3+2s=6-t

z: 2-2s=-2+t

3. The attempt at a solution

I set the components ofr_{1}=r_{2}then solved for s and t using substitution.

s=1

t=2

I then used 1+2(1)=2+(2) to get 3≠4

therefore it is skewed? or intersecting?

I'm not sure how to find the point of intersection if it does intersect.

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# Determine if two lines are parallel, intersecting, or skewed.

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