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Vector Addition (AQA AS Maths: Pure)
Revision Note
Vector Addition
Vector addition
- Adding vectors together lets us describes the movement between two points
- The single vector this creates is called the resultant vector
- Subtracting a vector is the same as adding the negative vector
- Adding the vectors PQ and QP gives the zero vector, denoted by a bold zero 0
- You can add and subtract vectors in any of the forms previously described:
Scalars and parallel vectors
- Multiplying by a positive scalar only changes the size of a vector, not its direction
- Two vectors are parallel if and only if one is a scalar multiple of the other
Examiner Tip
- Think of vectors like a journey from one place to another – you may have to take a detour eg. A to B might be A to O then O to B.
- Diagrams can help, so if there isn’t one, draw one. If there are any, labelling parallel vectors will help.
Worked example
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