What is a pseudo vector (in the context of torque) ?

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A pseudo-vector in the context of torque is a unique type of vector that behaves differently under reflection compared to standard vectors. When a force is applied to generate torque in a system, the torque vector remains unchanged when the system is reflected, while the force and arm vectors do reflect. This property distinguishes pseudo-vectors from regular vectors. Understanding this concept can clarify the confusing nature of torque in three-dimensional systems. The key takeaway is that pseudo-vectors maintain their direction even when other vectors do not.
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on the whole, i find the concept of torque kind of confusing.
 
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Pseudo-vector is basically a vector that transforms a little different. Imagine you have a system to which you apply a force to generate torque. Picture the arm, force, and torque vectors in 3D. Now put it next to a mirror. In the reflected system, the force and arm vectors will also be reflected, but the torque will not be a reflection of the original.

Property of not changing under reflection is what defines a pseudo-vector.
 

Thread 'Derivation of Hamilton's Principle: Questions'

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