How do you find torque for a particle at a specific point using vector products?

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To find the torque of a particle at a specific point using vector products, the first step involves calculating the torque about the origin using the formula τ = r × F, where r is the position vector and F is the force vector. For the given position r = (1i + 3j) m and force F = (1i + 7j) N, the torque about the origin can be computed directly. For part (b), to find the torque about the point (0, 4) m, the correct approach involves determining the new position vector by subtracting the coordinates of the point from the particle's position, resulting in a vector that is then used to calculate the torque. The calculated torque about the point (0, 4) m is confirmed to be 8 Nm. Understanding the vector subtraction and application of the torque formula is crucial for accurate calculations.
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[SOLVED] Vector products and torque

Homework Statement


A particle is located at the vector position r = (i + 3j) m, and the force acting on it is F = (1i + 7j) N.
(a) What is the torque about the origin?
(b) What is the torque about the point having coordinates (0, 4) m?

The Attempt at a Solution


I got the answer for the first part, but I am confused about part b. At first I thought I was supposed to just switch (i +3j) with (0,4) but that is not right. So then I thought that maybe I was supposed to do this:
(1,3) - (0,4) = new vector, and the coordinates for the new vector to find the torque which would be equal to 8 nm. Is that how I am supposed to do it?
 
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Quite correct.
 
I thank ye
 

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