22. Jasmine, a civil engineer, is tasked with designing a highway interchange. In her design, two roads diverge, each following a distinct path represented as skew lines in three-dimensional space. One road follows the path defined by the equations described by [x, y, z] = [1, 6, 2] + t[2,2,7] x = 2-t y = 3t (z = 1 + 2t while the other road's trajectory is Determine the distance between these two diverging roads (skew lines) to ensure safety and efficiency in her interchange design.