This IB Math AI HL 3.11 – Vector Equations of a Line in Two and Three Dimensions slide deck develops a clear and systematic approach to representing straight lines using vectors. The lesson shows how lines can be expressed as the sum of a position vector and a direction vector, building a strong conceptual link between coordinate geometry and vector methods.
Students learn to form vector equations of lines in both two and three dimensions and convert these equations into parametric form. Carefully structured examples and practice problems guide learners through finding equations from given points or direction vectors and checking whether a point lies on a line by solving systems of equations.
With its emphasis on clear structure, multiple representations, and exam-style problem-solving, this slide deck supports HL-level classroom teaching and independent study, equipping students with the tools needed to confidently model and analyze lines using vectors in IB assessments.
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