Physics

Problem

Three displacement vectors are given:

\mathbf{P}: 6\,\text{m}

30^{\circ}

north of east,

\mathbf{Q}: 4\,\text{m}

45^{\circ}

south of west,

\mathbf{R}: 5\,\text{m}

due south. Calculate the magnitude and direction of

\mathbf{S}=\mathbf{P}-\mathbf{Q}-\mathbf{R}