Serway & Jewett — Vectors: Problem 8

Three displacements are \(\vec{A} = 200\text{ m}\) due south, \(\vec{B} = 250\text{ m}\) due west, and \(\vec{C} = 150\text{ m}\) at \(30.0^\circ\) east of north. (a) Construct a separate diagram for each of the following possible ways of adding these vectors: \(\vec{R}_1 = \vec{A} + \vec{B} + \vec{C}\); \(\vec{R}_2 = \vec{B} + \vec{C} + \vec{A}\); \(\vec{R}_3 = \vec{C} + \vec{B} + \vec{A}\). (b) Explain what you can conclude from comparing the diagrams.