Engineering Mathematics - Vector Calculus

A surface is given by z² = 2x² – y² and $\vec{n}$ and $-\vec{n}$ are unit normal vectors to the surface at the point $\vec{P} = \hat{i} + \sqrt{2} \hat{k}$. Which of the following vectors can be $\vec{n}$, where $\hat{i}...

The rate of increase, of a scalar field $f(x, y, z) = xyz$, in the direction $v = (2,1,2)$ at a point $(0,2,1)$ is