A force `(2.00hati-4.00hatj+2.00hatk)N` acts on a particle located at `(3.00hati+2.00hatj-4.00hatk)m`. What is the magnitude of the torque on the particle as measured about the origin?

Explanation

To find the magnitude of the torque on the particle as measured about the origin, we will follow these steps:

### Step 1: Identify the position and force vectors
The position vector \( \vec{r} \) and the force vector \( \vec{F} \) are given as:
\[ \vec{r} = 3\hat{i} + 2\hat{j} - 4\hat{k} \quad \text{(in meters)} \]
\[
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