A body placed in free space, is simultaneously \( \mathrm{P} \) acted upon by three forces \( \o...

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A body placed in free space, is simultaneously
\( \mathrm{P} \) acted upon by three forces \( \overrightarrow{\mathrm{F}}_{1}, \overrightarrow{\mathrm{F}}_{2} \) and \( \overrightarrow{\mathrm{F}}_{3} \). The

W body is in equilibrium and the forces \( \overrightarrow{\mathrm{F}}_{1} \) and \( \overrightarrow{\mathrm{F}}_{2} \) are known to be \( 36 \mathrm{~N} \) due north and \( 27 \mathrm{~N} \) due east respectively. Which of the following best describes the force \( \overrightarrow{\mathrm{F}}_{3} \) ?
(1) \( 36 \mathrm{~N} \) due south.
(2) \( 53 \mathrm{~N}, 60^{\circ} \) south of east
(3) \( 45 \mathrm{~N}, 53^{\circ} \) south of west
(4) \( 45 \mathrm{~N}, 37^{\circ} \) north of west
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