Vectors

Vectors describe translations and geometric movement using magnitude, direction, column notation, addition, subtraction and scalar multiplication rather than coordinate position alone. The topic separates vector movement from fixed coordinates and supports geometric proof, including parallel vectors, route descriptions and scalar multiples. Within Vectors, revision should focus on recognising the mathematical structure before choosing a method, because similar-looking questions can test different skills. A strong answer states the representation being used, shows the key calculation or reasoning step, and checks that the final answer matches the wording, units and accuracy of the question. Common mistakes usually come from applying a familiar procedure without checking the condition in the question, so each step should be linked back to the information given. Exam practice should therefore include both the calculation and a short reason for why that calculation is appropriate.