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Systems of Particles and Rotational Motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsSystems of Particles and Rotational Motion1 Mark
Question
Find the torque of a force $7\hat{\text{i}}-3\hat{\text{j}}-5\text{k}$ about the origin which acts on a particle whose position vector is $\hat{\text{i}}+\hat{\text{j}}-\hat{\text{E}}.$
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Answer

$\vec{\text{F}}=7\hat{\text{i}}-3\hat{\text{j}}-5\hat{\text{k}}$ $\vec{\text{r}}=\hat{\text{r}}+\hat{\text{j}}-\hat{\text{k}}$ $\vec{\tau}=\vec{\text{r}}\times\vec{\text{F}}=(\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}})\times(7\hat{\text{i}}-3\hat{\text{j}}-5\hat{\text{k}})$ $=-8\hat{\text{i}}-2\hat{\text{j}}-10\hat{\text{k}}$

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