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The vector AB is multiplied by a scalar to produce the vector AC.
Also displayed are a = AB, b = 2AB, c = 3AB and d = -2AB.
Please enable Java for an interactive construction (with Cinderella).

Software/Applets used on this page

Cinderella
Uses Cinderella interactive geometry

Glossary

scalar

A mathematical object with one property of magnitude or size.

vector

A mathematical object with magnitude and direction.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)M1VectorsVector theory-
AQA AS Maths 2017MechanicsVectorsVector Basics-
AQA AS/A2 Maths 2017MechanicsVectorsVector Basics-
CCEA A-Level (NI)M1VectorsVector theory-
CIE A-Level (UK)M1VectorsVector theory-
Edexcel A-Level (UK - Pre-2017)M1VectorsVector theory-
Edexcel AS Maths 2017Pure MathsVectorsVector Basics-
Edexcel AS/A2 Maths 2017Pure MathsVectorsVector Basics-
OCR A-Level (UK - Pre-2017)M1VectorsVector theory-
OCR AS Maths 2017Pure MathsVectorsVector Basics-
OCR MEI AS Maths 2017Pure MathsVectorsVector Basics-
OCR-MEI A-Level (UK - Pre-2017)M1VectorsVector theory-
Pre-U A-Level (UK)MechVectorsVector theory-
Universal (all site questions)VVectorsVector theory-
WJEC A-Level (Wales)M2VectorsVector theory-