Recent content by chemicalsss

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    Undergrad Why Is the Normal Vector of a Tangent Plane Equal to the Gradient?

    For a tangent plane to a surface, why is the normal vector for this plane equal to the gradient vector? Or is it not?
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    Undergrad IMPORTANT - what is the geometric intepretation of the gradient vector?

    That surface in the plot is not the plot of the function, but a plot of the level surface. The function is somewhere else, increasing in the direction of the red arrow. (It might be easier to visualise for a 2-variable than a 3-variable plot)