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Bookmark or Share- Why is the vector chosen by the right hand rule? [duplicate]I'm reading first year Physics and the Young & Freedman (13e) text describes how to find the vector (cross) product. Notably, the authors simplify the description of finding the product direction with the right hand rule which I've previously seen used to explain the direction of EM force from a wire with current flowing through it (I think?)
- linear algebra - What is right-handed coordinate system? - Mathematics ...A right-hand coordinate system is modelled by, wait for it, the right hand! Hold out your right hand in a fist with the thumb facing up. Stick up your thumb like your giving a thumbs up. Now extend the index finger, like your pointing at something in from of you. Finally, extend the middle finger side ways so that it's at a right-angle with the ...
- vectors - Right hand system $3 \times 3$ determinant - Mathematics ...The right-hand rule states that the orientation of the vectors' cross product is determined by placing u and v tail-to-tail, flattening the right hand, extending it in the direction of u, and then curling the fingers in the direction that the angle v makes with u.
- Rotation matrix between right- and left-handed systems, with an ...A is a right-handed system, and B is a left-handed system. Furthermore, after moving from a right- to a left-handed system, there is a further rotation. These two coordinate frames are illustrated in the image below. As can be seen, it appears that the axes in B are simply the negative of the axes in A.
- geometry - Understnading left vs. right-handed systems - Mathematics ...so I'm kind of unsatisfied with my knowledge about left and right-handed coordinate systems. I keep finding these hand-rules as an explanation whereas I'd have to like something which actually gives me a motivation for the definition and also gives me a more mathematical definition. And maybe some intuition. E.g.
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