Suppose we have the normals to surface zx y at location a b, Mathematics

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Suppose we have the normals to surface zx y at location a b

Question - Suppose we have the normal's to surface z(x, y) at location A, B, C and D as shown in the corresponding locations in the figure below.

Use an xy-coordinate system such that

A is at (1, 1)

B is at (2, 1)

C is at (1, 2)

D is at (2, 2)

Compute the surface gradient for all for 4 locations. Explain.

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Mathematics: Suppose we have the normals to surface zx y at location a b

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Mathematics: Suppose we have the normals to surface zx y at location a b

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