A force of `(2 hati - 4 hatj + 2 hatk )`N act a point `(3 hati+2 hatj -4 hatk)` metre form the origin. The magnitude of torque is

Options

A. (a)Zero
B. (b)24.4N-m
C. (c)0.244N-m
D. (d)2.444N-m

Explanation

To find the magnitude of torque given a force and a position vector, we can follow these steps:

### Step 1: Identify the Force and Position Vectors
The force vector \( \mathbf{F} \) is given as:
\[ \mathbf{F} = 2 \hat{i} - 4 \hat{j} + 2 \hat{k} \, \text{N} \]
The position vector \( \mathbf{R} \) is given as:
...