On similar lines, general equation of tangent plane at Po = (xo, yo, zo) to a surface S defined by a mathematical function z = f(x, y, z) which involves 3 variables is given below: z = f(xo, yo, zo) +

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Calculates the plane equation given three points. P lane equation ax+by+cz+d = 0 (1) →AB =(Bx−Ax,By−Ay,Bz −Az) →AC = (Cx−Ax,Cy−Ay,Cz−Az) (2) →AB × →AC =(a,b,c) a= (By−Ay)(Cz

The steps to populate the general equation of the tangent plane are as follows: Plug the values for x0 and y0 into the given function z = f ( x, y) to obtain the value for f ( x0, y0 ). Take the partial