### If "u = (2,2,-1)", "v = (3,-1,0)" and "w = (1,7,8)", verify that "u (dot) (v + w) = u (dot) v + u (dot) w".

My work: LHS: u (dot) (v + w) = (2,2,-1) (dot) (4,6,8) = [(2,2,-1) (dot) (3,-1,0)] + [(2,2,-1) (dot) (1,7,8)] = [u (dot) v] + [u (dot) w] Therefore,