The vector equation of the blue line through AB is given by:
r = a + tb

## Software/Applets used on this page

Uses the CabriJava interactive geometry applet. You can download the file by double-clicking on the display and then selecting the option at bottom right. You can then load it into your copy of Cabri.

## Glossary

### equation

A statement that two mathematical expressions are equal.

### 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 | - |

Edexcel AS Further Maths 2017 | Core Pure Maths | Vectors | Vector Algebra | - |

Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Vectors | Vector Algebra | - |

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 AS Further Maths 2017 | Pure Core | Vectors | Vector Algebra | - |

OCR MEI AS Further Maths 2017 | Core Pure A | Vectors and 3-D Space | Vector Algebra | - |

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 | - |