Serway & Jewett — Vectors: Problem 28

Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements \(\vec{d}_{1m}\) and \(\vec{d}_{1f}\) from the soles of the feet to the navel have magnitudes of \(104\text{ cm}\) and \(84.0\text{ cm}\), respectively. The displacements \(\vec{d}_{2m}\) and \(\vec{d}_{2f}\) from the navel to outstretched fingertips have magnitudes of \(100\text{ cm}\) and \(86.0\text{ cm}\), respectively. Find the vector sum of these displacements \(\vec{d}_3 = \vec{d}_1 + \vec{d}_2\) for both people.