A force `(hati-2hatj+3hatk)` acts on a particle of position vector `(3hati+2hatj+hatk)`. Calculate the `hatj^(th)` component of the torque acting on the particle.

Explanation

To calculate the \( \hat{j} \) component of the torque acting on a particle, we can 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 follows:
- Position vector \( \vec{r} = 3\hat{i} + 2\hat{j} + \hat{k} \)
- Force vector \( \vec{F} = \hat{i} - 2\hat{j} + 3\hat{k} \)

### Step 2: Write the Torque Formula
...