Three forces act concurrently on a body: of magnitude along the positive x-axis

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

Problem

Three forces act concurrently on a body:

\mathbf{F}_1

of magnitude

12\,\text{N}

along the positive x-axis,

\mathbf{F}_2

of magnitude

8\,\text{N}

making

120^\circ

with the positive x-axis, and

\mathbf{F}_3

of magnitude

5\,\text{N}

making

250^\circ

with the positive x-axis. (i) Write each force in unit-vector notation. (ii) Hence obtain the resultant force in unit-vector notation.