Addressed at HL in both AA and AI, this content introduces the concept of a vector and establishes the foundational language and operations of vector algebra. Students work with vectors in two and three dimensions, represented as directed line segments and in component form using base vectors i, j and k, covering addition, subtraction, scalar multiplication, magnitude and unit vectors. The scalar product is defined and used to find angles between vectors and to establish perpendicularity. In AA HL the vector product is also introduced, with its geometric interpretation in terms of area and applications to proof using vector geometry.
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Video lessons
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