If the resultant of three forces \( \mathbf{F}_{1}=p \hat{\mathbf{i...

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If the resultant of three forces \( \mathbf{F}_{1}=p \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-\hat{\mathbf{k}} \), \( \mathbf{F}_{2}=-5 \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}} \) and \( \mathrm{F}_{3}=6 \hat{\mathbf{i}}-\hat{\mathbf{k}} \) acting on a particle has a magnitude equal to 5 units. Then, what is difference in the values of \( p \) ?
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