10.5#10

Hi Professor,

Number 10 on 10.5 asks 

Determine whether the lines

L1:x=24+7t,y=21+6t,z=22+7t and L2:x=−13+8ty=−13+8tz=−19+10t

intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.

I attached my work so you can see what I did so far. I came to the conclusion that those lines are skew and fail to see how they intersect even though ww says they do. 

Thank you for your help,

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It was just a simple arithmetic error. In fact going through your calculation it fooled me too at first.