Halliday, Resnick & Walker — Vectors: Problem 16

For the displacement vectors \(\vec{a} = (3.0 \text{ m})\hat{i} + (4.0 \text{ m})\hat{j}\) and \(\vec{b} = (5.0 \text{ m})\hat{i} + (-2.0 \text{ m})\hat{j}\), give \(\vec{a} + \vec{b}\) in (a) unit-vector notation, and as (b) a magnitude and (c) an angle (relative to \(\hat{i}\)). Now give \(\vec{b} - \vec{a}\) in (d) unit-vector notation, and as (e) a magnitude and (f) an angle.