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idkLinearAlgebra

Do we need to specify the direction of rotation here?

doberdog91

A very informal analagous relationship could be done by imagining a hilly piece of land, then

  • X: the fastest way downhil

  • X rotated: contour lines on the elevation map, walking counterclockwise at the same elevation around the peak

And divergence of X, or curl of X rotated, is just the height map of the land.