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Torque, or the turning moment of a force, is a measure of how much a force acting on an object causes that object to rotate. The torque vector \(\Vect{\tau}\) is calculated using the vector product of the position vector \(\Vect{r}\) (from the axis of rotation to the point where the force is applied) and the force vector \(\Vect{F}\).$$ \Vect{\tau} = \Vect{r} \times \Vect{F} $$A force of \(\Vect{F} = \begin{pmatrix} 0 \\ 0 \\ -10 \end{pmatrix}\) N is applied to a wrench at a position \(\Vect{r} = \begin{pmatrix} 0.2 \\ 0.1 \\ 0 \end{pmatrix}\) m relative to the center of a bolt, as shown.
Calculate the torque vector \(\Vect{\tau}\) on the bolt. The resulting torque will be in Newton-meters (Nm).
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