A rectangular parallelepiped has dimensions a, b, and c, as in Figure P3.64. (a) Obtain a vector

Question:

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, cË†k, and R2 make a right triangle and prove that the magnitude of R2 is √ a2 + b2 + c2.