GATE ME 2018 Set 2 — Question 38

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67MediumGradient, Divergence & CurlVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

Last updated

Question

For a position vector r=xi^+yj^+zk^\vec{r} = x\hat{i} + y\hat{j} + z\hat{k} the norm of the vector can be defined as r=x2+y2+z2|\vec{r}| = \sqrt{x^2 + y^2 + z^2}. Given a function ϕ=lnr\phi = \ln |\vec{r}|, its gradient ϕ\nabla \phi is
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE ME 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.

More questions on Vector Calculus