Consider the parallelepiped P in R3 determined by the vectors u=[0 -1 -2],v=[-1 -1 -2]andw=[1 2 -2]. Use the parallelogram determined by u and v as the base of P. (a) (2 marks) Find the area A of the base of P. A= (If needed, enter \\/)_c as sqrt(x).) (b) (1 mark) Find the volume V of P. Y= (c) (2 marks) Find one vector n orthogonal to the base of P so that the volume of the parallelepiped determined by u, v, n equals the volume of P . | |