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A force vec(F) = (2 hat(i) + 3 hat(j) + ...

A force `vec(F) = (2 hat(i) + 3 hat(j) + 4 hat(k))` N is applied to a point having position vector `vec(r) = (3 hat(i) + 2 hat(j) + hat(k))` m. Find the torque due to the force about the axis passing through origin.

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AI Generated Solution

To find the torque due to the force about the axis passing through the origin, we will use the formula for torque, which is given by the cross product of the position vector \(\vec{r}\) and the force vector \(\vec{F}\). ### Step-by-Step Solution: 1. **Identify the vectors**: - The force vector is given as: \[ \vec{F} = 2 \hat{i} + 3 \hat{j} + 4 \hat{k} \text{ N} ...
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