Find Torque About Any Line: How to Calculate n Vector

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To calculate the torque about any line, the unit vector n must be determined. For the line defined by the equation x/2 = y/1 = z/-2, two points on the line can be found to create a position vector. This vector should then be normalized to ensure it has a length of 1. If the vector does not have a length of 1, it can be scaled by a constant. Understanding these steps is crucial for accurately calculating torque in relation to any axis.
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I know how to find a torque at anyone point, and about the x,y, and z axis.

General equation is t = n dot (r X F)

where t is the torque, n is unit vector

I know that to find torque about any axis, suppose the y-axis then n=(0,1,0) However, I don't know how to find n of any line.
I am working on a practice problem for a test where the line is x/2 = y/1 = z/-2

Any help would be appreciated.
 
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find 2 points on the line, use the position vector of point2 - point1.

If this vector has length 1 you're done. If not, multiply the vector by
some constant to make the length equal to 1.
 

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