finding a unitvector that gives the maximum directional derivative of a vectorfield

by Juncker   Last Updated January 14, 2018 13:20 PM

This is a question that I don't really know if I did it right

A Vectorfield is given, and a Point. It's gradient is 9i+12j+3k. It will be biggest at when there is no angle, so cos(0)

Is the formula $$\left(\frac{\vec v}{|v|}\right)=\left(\frac{\|gradf|}{gradf}\right)$$ correct? And if so, I get a scalar devided by a vector, I'm not sure how to proceed

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