1 The line \(l _ { 1 }\) passes through the points \(( 0,0,10 )\) and \(( 7,0,0 )\) and the line \(l _ { 2 }\) passes through the points \(( 4,6,0 )\) and \(( 3,3,1 )\). Find the shortest distance between \(l _ { 1 }\) and \(l _ { 2 }\).