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MIT 18.02 Multivariable Calculus, Fall 2007
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I was reading gradient in a book and I came across a line saying gradient has length and directon independent of the choice of cartesian coordinates. How...?
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Gradient VECTOR field. If it is a vector that would make sense
Length/magnitude YES, direction NO. The direction will be independent of co-ordinates which differ by translation and equal scaling of the axes, BUT it will NOT be independent of rotational transformations. |dw:1406717257428:dw|
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