If a =, b=, and C=. Show that a x (b x c) # (axb) x c. Find the area of the parallelogram with vertices below: (a) P(0, 0, 0), Q(5, 0,0), R(7, 6, 6), S(2, 6, 6) (b) P(1, 0, 0), Q(4, 0,0), R(10, 4, 4), S(7, 4, 4) Find the volume of the parallelepiped determined by the vectors a, b, c. (a) a=, b=, C= (b) a = 2i + 37 - 2k, b= i - j, d= 2i+ 3k Given the points P(1, 1, 1), Q(2, 0,3), R(4, 1, 7), and S(3, -1, -2), find the vol- ume of the parallelepiped with adjacent edges PQ, PR, and PS