9231 P13 - Jun 2019 - Q7 - 10 marks
5832
7 The line \(l_{1}\) passes through the points \(A(-3,1,4)\) and \(B(-1,5,9)\). The line \(l_{2}\) passes through the points \(C(-2,6,5)\) and \(D(-1,7,5)\).
(i) Find the shortest distance between the lines \(l_{1}\) and \(l_{2}\).
(ii) Find the acute angle between the line \(l_{2}\) and the plane containing \(A, B\) and \(D\).
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