Halliday, Resnick & Walker — Vectors: Problem 56

Find the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle relative to \(+x\). \(\vec{P}: 10.0 \text{ m, at } 25.0^\circ \text{ counterclockwise from } +x\) \(\vec{Q}: 12.0 \text{ m, at } 10.0^\circ \text{ counterclockwise from } +y\) \(\vec{R}: 8.00 \text{ m, at } 20.0^\circ \text{ clockwise from } -y\) \(\vec{S}: 9.00 \text{ m, at } 40.0^\circ \text{ counterclockwise from } -y\)