MHB Orthogonal Rotation: Get Info & Tips

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Orthogonal rotation involves transforming vectors in a way that preserves their length and angles. Resources like Wikipedia provide clear explanations of rotation matrices, which are essential for understanding this concept. Users express a need for more accessible descriptions and examples to aid comprehension. The discussion highlights the importance of finding reliable educational materials on orthogonal bases and rotations. Clear guidance can significantly enhance understanding of these mathematical principles.
Petrus
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Hello MHB,
Do anyone know any good page that give you good describe when you rotate with orthogonal. I mean when you rotate base or vector in a orthogonal base ( hope this make sense) cause I did not understand from my book :(

Regards,
$$|\pi\rangle$$
 
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Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
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