0. This exercise is used in Appendix E. Recall that the area of a parallelogram with base...

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0. This exercise is used in Appendix E. Recall that the area of a parallelogram with base b and altitude h is given by bh, and the volume of a parallelepiped is given by the area of its base times its altitude.

(a) Let a,b E R3 be nonzero vectors and P represent the parallelogram

{(x,y,Z) = ua+vb: U,V E [0, I]}.

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