Official PYQ · 2026Set 1 · Q2Vector AnalysisMCQ1 mark

GATE EC 2026 Set 1 Q2 — Vector Analysis

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?

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Answer: D

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Published 10 Oct 2026

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