GATE EE 2014 Set 1 — Question 38

MCQ+2 / -0.67MediumLine, Surface & Volume IntegralsVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Line, Surface & Volume Integrals

Last updated 5 September 2026

Question

F = yzi

\oint_C \vec{F} \cdot d\vec{r} = \oint_C (yz \hat{i}) \cdot (dx \hat{i} + dy \hat{j} + dz \hat{k}) = \oint_C yz dx

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

\oint_C \vec{F} \cdot d\vec{r} = \oint_C (yz \hat{i}) \cdot (dx \hat{i} + dy \hat{j} + dz \hat{k}) = \oint_C yz dx

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.