AQA GCSE Mathematics · 8300
Specification G25 · Paper 1, Paper 2, Paper 3
Revise: Vector ArithmeticA vector records both how far and in which direction something moves. It is useful to think of it as a journey rather than a position.
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GCSE Mathematics · key term
A quantity that has both a magnitude and a direction; geometrically, it represents a directed movement.
Used by AQA, Edexcel and OCR
Specification G25 · Paper 1, Paper 2, Paper 3
Revise: Vector ArithmeticA vector records both how far and in which direction something moves. It is useful to think of it as a journey rather than a position.
Specification G25 · Paper 1, Paper 2, Paper 3
A quantity with both magnitude and direction, often represented by an arrow or a column of components.
Revise: Vector Arithmetic and RepresentationsA vector records how far and in which direction something moves.
A directed movement with both length and direction, often written as an arrow between two points.
Specification 9.03a, 9.03b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A quantity with both magnitude and direction, represented by a directed line segment or an arrowed symbol.
Revise: Vector OperationsA vector records a movement: it has a magnitude, meaning its size or length, and a direction.
A movement or quantity that has both a magnitude (size) and a direction.
For column-vector calculations, work on the top and bottom entries separately and keep negative numbers in brackets where helpful.
To prove that lines are parallel, show explicitly that one non-zero vector is a scalar multiple of the other, then state the geometric conclusion.
For a collinearity proof, identify the common point as well as the scalar-multiple relationship; parallel vectors alone could lie on different lines.
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