Halliday, Resnick & Walker — Vectors: Problem 43

The three vectors in Fig. 3.13 have magnitudes \(a = 3.00\text{ m}\), \(b = 4.00\text{ m}\), and \(c = 10.0\text{ m}\) and angle \(\theta = 30.0^\circ\). What are (a) the \(x\) component and (b) the \(y\) component of \(\vec{a}\); (c) the \(x\) component and (d) the \(y\) component of \(\vec{b}\); and (e) the \(x\) component and (f) the \(y\) component of \(\vec{c}\)? If \(\vec{c} = p\vec{a} + q\vec{b}\), what are the values of (g) \(p\) and (h) \(q\)?