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Gradient From Three Points

With data from three points the magnitude and direction of the gradient can be determined. X, Y locations and the measured heads give a matrix for determining the gradient and direction:

Matrix for Determining Gradient and Direction

where a, b, and c are the coefficients of a plane that goes through the three points. The magnitude of the gradient is dermined from

Magnitude of Gradient

and the angle with North (=0o) is, for example in the first quadrant

Angle of the Gradient with North

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