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Trigonometry
Question

Distance between skew lines Find the distance bet...

Distance between skew lines Find the distance between the line \(L _ { 1 }\) through the points \(A ( 1,0 , - 1 )\) and \(B ( - 1,1,0 )\) and the line \(L _ { 2 }\) through the points \(C ( 3,1 , - 1 )\) and \(D ( 4,5 , - 2 )\) . The distance is to be measured along the line perpendicular to the two lines. First find a vector \(n\) perpendicular to both lines. Then project \(\vec { A C }\) onto \(n\) .

Answer

\(11 / \sqrt { 107 }\)

Solution
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