Conservative Force Field & Scalar Potential Function | VTU 1BMATE201 Model Paper Q3(b)

📘 VTU Model Question Paper – 2025 (Question Paper Information) Course: 1BMATE201 – Calculus, Laplace Transforms and Numerical Techniques Paper: Model Question Paper–I (2025 Scheme) Question No.: 3(b) Question: Show that F⃗ = (2xy² + yz) i⃗ + (2x²y + xz + 2yz²) j⃗ + (2y²z + xy) k⃗ is a conservative force field (Irrotational). Find its scalar function ϕ such that F⃗ = ∇ϕ. In this video, we solve an important VTU Model Question Paper problem from Vector Calculus. The solution is explained step by step by verifying that the given vector field is irrotational using curl, and then determining the scalar potential function ϕ such that F⃗ = ∇ϕ. 🎯 Topics Covered: ✅ Vector Calculus ✅ Conservative Vector Fields ✅ Irrotational Vector Fields ✅ Curl of a Vector Field ✅ Scalar Potential Function ✅ Gradient Operator ✅ VTU Model Question Paper 2025 ✅ Engineering Mathematics-II 📌 Watch Next: Module 2 Vector Calculus Playlist: https://www.youtube.com/ 📚 Related Topics: • Gradient • Divergence • Curl • Conservative Vector Fields • Scalar Potential Function • Line Integrals • Green’s Theorem • Stokes’ Theorem • Gauss Divergence Theorem 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp: https://whatsapp.com/channel/0029Vb6c... 👉 Get all VTU Maths updates and video links on Telegram: https://t.me/vtumathswithmathematicst... 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗    / @officialmathematicstutor   #VectorCalculus #ConservativeField #ScalarPotential #Irrotational #1BMATE201 #VTUMaths #VTU2025Scheme