Show that if fu+iv is analytic in a domain D., then (Vu) (V) = 0, where...

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Show that if fu+iv is analytic in a domain D., then (Vu) (V) = 0, where Vis the gradient operator from multivariable calculus. Consider the level curves given by u(x, y) = a and v(x, y) = b. What does the previous part tell you about how these curves intersect at a point f(0) = a + ib? Show that if fu+iv is analytic in a domain D., then (Vu) (V) = 0, where Vis the gradient operator from multivariable calculus. Consider the level curves given by u(x, y) = a and v(x, y) = b. What does the previous part tell you about how these curves intersect at a point f(0) = a + ib?