Given u, v, w and s as for Question 27, find

(a) The angle between u and w;

(b) The angle between v and s;

(c) The value of λ for which the vectors u + λk and v – λi are perpendicular;

(d) The value of m for which the vectors w + μi and s – μi are perpendicular.

Data from Question 27

Given that u = (4, 0, –2), v = (3, 1, –1), w = (2, 1, 6) and s = (1, 4, 1), evaluate