Chapter 3, Problem 3.65AP

A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector ${\stackrel{\to }{R}}_1$. (b) What is the magnitude of this vector? (c) Notice that ${\stackrel{\to }{R}}_1,c\stackrel{\to }{k}$, and ${\stackrel{\to }{R}}_2$ make a right triangle. Obtain a vector expression for the body diagonal vector ${\stackrel{\to }{R}}_2$.