Let K be the parallelepiped determined by u = (3, 2, 1), v = (1, 1, 2),

Question:

Let K be the parallelepiped determined by u = (3, 2, 1), v = (1, 1, 2), and w = (1, 3, 3).
a. Find the volume of K.
b. Find the area of the face determined by u and v.
c. Find the angle between u and the plane containing the face determined by v and w.