Vector Analysis PYQs (2010–2025) | UPSC Maths Optional | Dot, Cross, Triple Product, Differentiation скачать в хорошем качестве

Vector Analysis PYQs (2010–2025) | UPSC Maths Optional | Dot, Cross, Triple Product, Differentiation

#upscmathsoptional #vectoranalysis #dotproduct #crossproduct #tripleproduct #vectorcalculus #upscpyqs #safaltakiore #priyankagodara #upscmains2025Vector Analysis PYQs (2010–2025) | UPSC Maths Optional | Dot, Cross, Triple Product, Differentiation Welcome to SAFALTA KI ORE with Priyanka Godara! In this video, we cover 15 years (2010–2025) of UPSC CSE Maths Optional PYQs from Vector Analysis – Basic Concepts, including: ✔ Dot Product ✔ Cross Product ✔ Scalar Triple Product (STP) ✔ Vector Triple Product (VTP) ✔ Basic Vector Identities ✔ Vector Differentiation This lecture includes: ✔ Geometrical interpretation of products ✔ Standard identities frequently used in UPSC ✔ Scalar & vector projections ✔ Applications of triple products (area, volume) ✔ Differentiation of vector functions ✔ Velocity & acceleration vectors ✔ Differentiation of dot & cross products ✔ Chain rule & product rule for vector functions ✔ How to simplify vector expressions in PYQs ✔ Neat and clear UPSC mains answer-writing method Why this video is important: 📌 Vector basics are the foundation for gradient, divergence, curl, line & surface integrals 📌 UPSC repeats many conceptual questions 📌 High-scoring subtopic if identities are memorized properly This session is ideal for: 🔹 UPSC CSE Maths Optional aspirants 🔹 IIT-JAM / GATE / CUET PG Mathematics students 🔹 B.Sc / B.Tech students learning vector calculus 🔹 Anyone who wants to strengthen vector fundamentals 📌 Download Notes & PYQs PDF: Join Telegram → Safalta Ki Ore 📌 Watch other Vector Analysis Videos: • Gradient, Divergence, Curl • Line Integral • Surface Integral • Green’s, Stokes’ & Gauss Divergence Theorems upsc maths optional vector analysis upsc dot product upsc cross product upsc scalar triple product vector triple product triple product upsc vector differentiation differentiation of vector functions vector identities vector algebra for upsc gradient divergence curl basics area using vector products volume using triple product vector calculus pyqs upsc calculus vector questions 15 years maths optional pyqs priyanka godara maths optional safalta ki ore upsc cse maths paper 1 maths optional vector analysis vector operations for upsc vector functions calculus upsc mains maths solutions vector projections vector geometry upsc If this video helps you, kindly LIKE ❤️ | SHARE 📢 | COMMENT ✍️ | SUBSCRIBE 🔔 Your support keeps this PYQ series growing!