Prove that the area of P is Iia x bll. (b) Let a, b, c E R

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Prove that the area of P is Iia x bll.

(b) Let

a, b, c E R 3 be nonzero vectors and P represent the parallelepiped

{(x,y,z) = ta+ub+vc: t,u,v E [0, I]}.

Prove that the volume of P is I (a x

b) . cl.

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