The torque exerted by the force on the body is [tex]\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}[/tex].
Vectorially speaking, the torque exerted ([tex]\vec \tau[/tex]) by the force on the body ([tex]\vec F[/tex]) is resulted from this expression:
[tex]\vec \tau = \vec r_{QA} \times \vec F[/tex] (1)
Where:
If we know that [tex]\vec r_{QA} = (2, 3, 0)[/tex] and [tex]\vec F = (-2, 1, 1)[/tex], then the torque is:
[tex]\vec \tau = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&3&0\\-2&1&1\end{array}\right|[/tex]
[tex]\vec \tau = (3, -2, 8)[/tex]
The torque exerted by the force on the body is [tex]\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}[/tex].
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