Two forces \( \mathbf{F}_{1}=3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}} \) and \( \mathbf{F}_{2}=2 \h...

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Two forces \( \mathbf{F}_{1}=3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}} \) and \( \mathbf{F}_{2}=2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}} \) are acting upon a body of mass \( 2 \mathrm{~kg} \). Find the force \( \mathbf{F}_{3} \), which when acts on the body will make it stable.
(a) \( 5 \hat{\mathbf{i}}+7 \hat{\mathbf{j}} \)
(b) \( -5 \hat{\mathbf{i}}-7 \hat{\mathbf{j}} \)
(c) \( -5 \hat{\mathbf{i}}+7 \hat{\mathbf{j}} \)
(d) \( 5 \hat{\mathbf{i}}-7 \hat{\mathbf{j}} \)
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