Three displacement vectors are given: at north of east

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Three displacement vectors are given:

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

at

30^{\circ}

north of east,

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

at

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}

.

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