I quote from the course material "The most important use for the tangent plane is to give an approximation that is the
basic formula in the study of functions of several variables — almost everything follows in
one way or another from it."
And yet, the fundamental equation they derive is incorrect.
A(x − x0) + B(y − y0) + C(w − w0) = 0 somehow becomes w − w0 = a(x − x0) + b(y − y0)?
Would someone mind explaining this magic? I've coped with the errors in every single PDF so far, but this one takes the cake, since the entire course is based upon that mystical rearrangement.

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