Question: Let ~v be an arbitrary fixed vector in R 3 , and let f(x, y, z) = v (xi yj z k). What is the

Let ~v be an arbitrary fixed vector in R 3 , and let f(x, y, z) = v (xi yj z k). What is the gradient of f and What does this tell you about the contour plot for f?

I got the gradient is the same as vector v, but don't know what this tells about the contour plot.

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