0 0 votes A surface is given by $z^{2}=2 x^{2}-y^{2}$ and $\vec{n}$ and $-\vec{n}$ are unit normal vectors to the surface at the point $\vec{P}=\hat{\boldsymbol{\imath}}+\sqrt{2} \widehat{\boldsymbol{k}}$.Which of the following vectors can be $\vec{n}$, where $\hat{\boldsymbol{\imath}}, \hat{\boldsymbol{\jmath}}$ and $\widehat{\boldsymbol{k}}$ are the unit vectors along $\mathrm{x}, \mathrm{y}$ and z axes, respectively?$\hat{\boldsymbol{\imath}}-\sqrt{2} \widehat{\boldsymbol{k}}$$\frac{2}{3} \hat{\boldsymbol{\imath}}-\frac{1}{3} \widehat{\boldsymbol{k}}$$\sqrt{2} \hat{\boldsymbol{\imath}}-\sqrt{3} \widehat{\boldsymbol{k}}$$\frac{\sqrt{2} \hat{\boldsymbol{\imath}}-\widehat{\boldsymbol{k}}}{\sqrt{3}}$ Vector Analysis gateec-2026 vector-analysis + – gatecse 145 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
