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
Uses Cinderella interactive geometry
Glossary
scalar
A mathematical object with one property of magnitude or size.
vector
A mathematical object with magnitude and direction.
This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AQA A-Level (UK - Pre-2017) | C4 | Vectors | 2D Vector geometry | - |
| CBSE XII (India) | Vectors and 3-D Geometry | Vectors | Vectors and scalars, magnitude and direction of a vector | - |
| CCEA A-Level (NI) | C4 | Vectors | 2D Vector geometry | - |
| CIE A-Level (UK) | P1 | Vectors | 2D Vector geometry | - |
| Edexcel A-Level (UK - Pre-2017) | C4 | Vectors | 2D Vector geometry | - |
| I.B. Higher Level | 4 | Vectors | 2D Vector geometry | - |
| I.B. Standard Level | 4 | Vectors | 2D Vector geometry | - |
| Methods (UK) | M4 | Vectors | 2D Vector geometry | - |
| OCR A-Level (UK - Pre-2017) | C4 | Vectors | 2D Vector geometry | - |
| OCR-MEI A-Level (UK - Pre-2017) | C4 | Vectors | 2D Vector geometry | - |
| Pre-Calculus (US) | E1 | Vectors | 2D Vector geometry | - |
| Pre-U A-Level (UK) | 6 | Vectors | 2D Vector geometry | - |
| Scottish (Highers + Advanced) | HM3 | Vectors | 2D Vector geometry | - |
| Scottish Highers | M3 | Vectors | 2D Vector geometry | - |
| Universal (all site questions) | V | Vectors | 2D Vector geometry | - |
| WJEC A-Level (Wales) | C4 | Vectors | 2D Vector geometry | - |