**Calculate the Torque About the Origin**Given:- A force **F** = (4**i** - 3**j** + 2**k**) N- A particle located at **r** = (3**i** + 2**j** - 1**k**) m**Question:** Calculate the torque about the origin.**Choices:**- **(A)** ( **i** + 2**j** - 1**k** ) N·m- **(B)** ( 1**i** - 10**j** - 17**k** ) N·m- **(C)** ( 3**i** - 2**j** - 1**k** ) N·m- **(D)** ( 3**i** + 9**j** + 12**k** ) N·m**Detailed Explanation of Diagrams:**There are no graphs or diagrams in the given image.For educational purposes, to calculate the torque **τ** about the origin, you need to take the cross product of **r** and **F**:**τ** = **r** × **F**For the vectors:**r** = (3, 2, -1)**F** = (4, -3, 2)The cross product formula for two vectors **r** = (r₁, r₂, r₃) and **F** = (F₁, F₂, F₃) is given by:τ = (r₂F₃ - r₃F₂) **i** - (r₁F₃ - r₃F₁) **j** + (r₁F₂ - r₂F₁) **k**Substituting in the given values:τ = (2*2 - (-1)*(-3)) **i** - (3*2 - (-1)*4) **j** + (3*(-3) - 2*4) **k**τ = (4 - 3) **i** - (6 - (-4)) **j** + ((-9) - 8) **k**τ = 1 **i** - 10 **j** - 17 **k**So the correct answer is:- **(B)** (1**i** -

The problem is based on the concept of Torque. In physics and mechanics, torque is the rotational…

Answered: Calculate the torque about the origin…