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 | - |