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m Passive transformation : Added bold to basis vectors, to make clear that they are not scalars |
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The new coordinates <math>(v_X,v_Y,v_Z)</math> of <math>\mathbf{v}</math> with respect to the new coordinate system ''XYZ'' are given by:
<math display="block">\mathbf{v} = (v_x,v_y,v_z) =
From this equation one sees that the new coordinates are given by
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