A force `vecF=(6.00hati-4.00hatj)N` acts on a particle with position vector `vecr=(-3.00hati+1.00hatj)m`. Find (a) the torque about the origin acting on the particle and (b) the angle between `vecrandvecF`.

Explanation

To solve the given problem step by step, we will tackle both parts (a) and (b) systematically.

### Given:
- Force vector: \(\vec{F} = (6.00 \hat{i} - 4.00 \hat{j}) \, \text{N}\)
- Position vector: \(\vec{r} = (-3.00 \hat{i} + 1.00 \hat{j}) \, \text{m}\)

### Part (a): Calculate the Torque about the Origin

...