Halliday, Resnick & Walker — Vectors: Problem 54

For the vectors in Fig. 3.12, with \(a = 4\), \(b = 3\), and \(c = 5\), calculate (a) \(\vec{a} \cdot \vec{b}\), (b) \(\vec{a} \cdot \vec{c}\), and (c) \(\vec{b} \cdot \vec{c}\).