A force of `-4 F hat(k)` acts at O, the origin of the coordinate system. The torque about the point `(1,-1)` is

Options

A. `-4F(hat(i)-hat(j))`
B. `4F(hat(i)-hat(j))`
C. `-4F(hat(i)+hat(j))`
D. `4F(hat(i)+hat(j))`

Explanation

To find the torque about the point (1, -1) due to a force of \(-4 \mathbf{F} \hat{k}\) acting at the origin, we can follow these steps:

### Step 1: Define the position vector
The torque \(\mathbf{T}\) is given by the cross product of the position vector \(\mathbf{r}\) and the force vector \(\mathbf{F}\). The position vector \(\mathbf{r}\) is defined as the vector from the point about which we are calculating the torque to the point of application of the force.

Given:
- The point about which we are calculating torque is \(P(1, -1)\).
- The point of application of the force is the origin \(O(0, 0)\).
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