A rectangular parallelepiped has dimensions a, b, and c, as in Figure P3.64.
(a) Obtain a vector expression for the face diagonal vector R1. What is the magnitude of this vector?
(b) Obtain a vector expression for the body diagonal vector R2. Note that R1, cˆk, and R2 make a right triangle and prove that the magnitude of R2 is √ a2 + b2 + c2.

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January 4, 2010

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