From this diagram, http://www34.homepage.villanova.edu/robert.jantzen/courses/mat2500/handouts/s14-6-38.pdf how can i find the length of the vector at point (4,6)(adsbygoogle = window.adsbygoogle || []).push({});

Answer is length = (-2-(-3))/0.5 =2. I don't understand why we use -3 and -2 from the contour lines. The gradient vector at (4,6) does not go to -3. So why do we input -3 to find length? Or do we use the closest level lines to find the approximate rate of change?

Thanks

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# Find the length of the vector

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