Use a software program or a graphing utility to find (a) the lengths of u and v, (b) a unit vector in the direction of v, (c) a unit vector in the direction opposite that of u, (d) u ∙ v, (e) u ∙ u, and (f) v ∙ v.

1. u = (1, 1/8, 2/5), v = (0, 1/4, 1/5)
   
2. u = (2, \(\sqrt{3}\), \(\sqrt{2}\), \(\sqrt{3}\)), v = (−2, \(\sqrt{2}\), \(\sqrt{-3}\), \(\sqrt{-2}\))