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GATE EC 2026 Set 1 — Question 12

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MCQ+1 / -0.33EasyGradient, Divergence & CurlVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

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Question

A surface is given by z2=2x2−y2z^2 = 2x^2 - y^2 and n⃗\vec{\mathbf{n}} and −n⃗-\vec{\mathbf{n}} are unit normal vectors to the surface at the point P⃗=i^+2k^\vec{\mathbf{P}} = \hat{\mathbf{i}} + \sqrt{2} \hat{\mathbf{k}}.
Which of the following vectors can be n⃗\vec{\mathbf{n}}, where i^\hat{\mathbf{i}}, j^\hat{\mathbf{j}} and k^\hat{\mathbf{k}} are the unit vectors along x, y and z axes, respectively?
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