OCRโขA-LevelโขMathematics
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Vectors
Vectors in 2D and 3D, magnitude, direction, and geometric applications
Practice 24 subtopics in Vectors. All questions match the OCR A-Level specification.
About Vectors
Vectors is a key topic in the OCR A-Level Mathematicsspecification. This topic covers vectors in 2d and 3d, magnitude, direction, and geometric applications.
Master all 24 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (24)
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Vectors in 2DVectors in 3DColumn vector notationi, j, k unit vector notationMagnitude of a vector |a|Direction of a vectorUnit vectorsAdding and subtracting vectorsScalar multiplicationParallel vectorsPosition vectorsDisplacement vectorsDistance between pointsMidpoint of line segmentDividing a line in a given ratioUsing vectors in geometryProving collinearityGeometric proofs with vectorsScalar (dot) product: a ยท ba ยท b = |a||b| cos ฮธa ยท b = xโxโ + yโyโ + zโzโFinding angles between vectorsPerpendicular vectors: a ยท b = 0Applications of scalar product
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