
This IB Math AI HL 3.13 – Vector Properties slide deck develops a deep understanding of how vectors interact, both algebraically and geometrically. The lesson introduces the scalar (dot) product as a measure of directional alignment, helping students interpret it conceptually as “work” and apply it to determine angles and perpendicularity between vectors.
Students also explore the vector (cross) product, learning how it generates a vector perpendicular to two given vectors and how its magnitude represents the area of the parallelogram they form. The lesson further extends vector analysis by decomposing vectors into components parallel and perpendicular to a given direction, reinforcing practical applications in contexts such as forces and motion.
With its clear explanations, geometric interpretations, and exam-style practice problems, this slide deck supports HL-level classroom teaching and independent study, equipping students with the analytical tools needed to confidently handle vector relationships and applications in IB Mathematics assessments.
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