Vectors

Vectors introduces the study of quantities possessing both magnitude and direction, providing a geometric and algebraic framework for analyzing spatial relationships. This topic focuses on the representation of vectors in two-dimensional space using component form, column notation, and unit vectors i and j. Students master the operations of vector addition, subtraction, and scalar multiplication, alongside the application of the dot product to determine the angle between vectors and establish perpendicularity. The curriculum emphasizes the use of vector methods to solve geometric proofs and model physical phenomena, such as displacement and force, within the Cartesian plane.