1. The problem statement, all variables and given/known data Let L1 be the line (0,4,5) + <1,2,-1>t and L2 be the line (-10,9,17) + <-11,3,1>t a) Find the line L passing through and orthogonal to L1 and L2 b) What is the distance between L1 and L2 3. The attempt at a solution I only know how to do part of part a). I can only find the direction vector of the orthogonal line by taking the cross product. I have, <1,2,-1> x <-11,3,1> = <5,10,25>, which I simplify to <1,2,5>. It doesn't seem very obvious to me how I can find a point (presumably on either L1 or L2) such that a line containing this point, pointing in the direction of <1,2,5>, passes through both L1 and L2. For part b), I presume that these two lines are skew. (How do you check if lines are parallel or intersect?) The distance between these two lines is |<5,10,25> dot [(0,4,5) - (-10,9,17)]| = |<5,10,25> dot <10,-5,-12>| = |50 - 50 - 300| = 300. So the distance is 300?