Edexcel•A-Level•Mathematics
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Vectors
Vectors in 2D and 3D, magnitude, direction, and geometric applications
Practice 23 subtopics in Vectors. All questions match the Edexcel A-Level specification.
About Vectors
Vectors is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers vectors in 2d and 3d, magnitude, direction, and geometric applications.
Master all 23 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 (23)
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Vectors in 2D: column notation and i, j notationMagnitude of a vector: |a| = √(x² + y²)Direction of a vectorUnit vectorsPosition vectorsDisplacement vectorsAdding and subtracting vectorsScalar multiplicationParallel vectorsUsing vectors for geometric proofsFinding position vectorsShowing points are collinearFinding ratios in which points divide linesVectors in 3D: column notation and i, j, k notationMagnitude in 3D: |a| = √(x² + y² + z²)Distance between points in 3DMidpoints in 3DScalar (dot) product: a · ba · b = |a||b| cos θa · b = x₁x₂ + y₁y₂ + z₁z₂Finding angles between vectorsPerpendicular vectors: a · b = 0Applications of scalar product
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