Properties - Scalar Triple Products | Vector Products and Vector Equations of Geometries - Introduction to Vectors

Introduction to vectors, covering vector algebra, geometry, products, vector equations of geometries, vector differentiation, integration and their applications to mechanics and differential geometry. Curated for first-year students of engineering and physical sciences at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

This learning track is designed for first-year students at the Federal University of Technology, Akure (FUTA) and aligns with the second-semester coverage of introductory applied mathematics. It opens with vectors—what they are, how they work, and where they show up in real-world problems. From there, you’ll explore the geometry of circles and conic sections, gradually building up to the core ideas in basic dynamics. The lessons are short, clear, and practical—just the way we like it on UniDrills. Everything’s broken down to help you build strong intuition and problem-solving skills, especially if this is your first time engaging with applied math in this form. If you're not a FUTA student, no worries. The structure and explanations are broadly relevant, and the track works just as well for anyone looking to master these foundational topics in science and engineering.