College Physics ›› 2018, Vol. 37 ›› Issue (11): 6-8.doi: 10.16854 /j.cnki.1000-0712.180083

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Derivation and application of the transformation matrix of unit vector

LIU Chun-ping   

  1. College of Mathematics,Yangzhou University,Yangzhou,Jiangsu 225002,China
  • Received:2018-01-31 Revised:2018-05-14 Online:2018-11-20 Published:2018-11-20

Abstract: The transformation matrix of unit vector in the orthogonal curvilinear coordinate system is derived firstly by using compound function derivation law and vector algebra knowledge. Then the computational formulas of the spatial derivative,time derivative of unit vector and the velocity,acceleration of particle are given through the transformation matrix

Key words: orthogonal curvilinear coordinate system, unit vector, transformation matrix, velocity, acceleration