A force `(hat(i)-2hat(j)+3hat(k))` acts on a particle of position vector `(3hat(i)+2hat(j)+hat(k))`. Calculate the `hat(j)^(th)` component of the torque acting on the particle.

Explanation

To solve the problem of calculating the \(\hat{j}\) component of the torque acting on a particle, we follow these steps:

### Step 1: Identify the Given Vectors
The force vector \(\mathbf{F}\) is given as:
\[ \mathbf{F} = \hat{i} - 2\hat{j} + 3\hat{k} \]
The position vector \(\mathbf{R}\) is given as:
...