In Spatial coordinates you may look at objects like points, straight lines and planes from different angles. The goal is to establish a connection between spatial imagination and algebraic issues (reading off coordinate values, qualitative description of the objects). The applet also serves as introduction to further dynamical 3D diagrams with similar functionality.
In the applet Straight lines in 3-space the user shall work out parameter representations of five straight lines, given in a dynamical 3D diagram. No numerical information is provided, hence all ingredients necessary to determine the position of the lines must be found out by the user. See if you understand the parametric representation of straight lines.

## Software/Applets used on this page

## Glossary

### coordinate

One of the measurements of distance of a point from the axes of the graph.

### parameter

a) a constant or variable term in a function that determines the specific form of the function but not its general nature, as a in f(x) = ax, where a determines only the slope of the line described by f(x).

b) one of the independent variables in a set of parametric equations.

b) one of the independent variables in a set of parametric equations.

### straight

The type of line produced by a linear equation.

### work

Equal to F x s, where F is the force in Newtons and s is the distance travelled and is measured in Joules.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | FP4 | Vectors | Planes | - |

AQA A2 Further Maths 2017 | Pure Maths | Vectors | Planes | - |

AQA AS/A2 Further Maths 2017 | Pure Maths | Vectors | Planes | - |

CBSE XII (India) | Vectors and 3-D Geometry | Vectors | Cross product definition, geometrical interpretation, properties and application | - |

CIE A-Level (UK) | P3 | Vectors | Planes | - |

Edexcel A-Level (UK - Pre-2017) | FP3 | Vectors | Planes | - |

Edexcel AS Further Maths 2017 | Core Pure Maths | Vectors | Planes | - |

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

I.B. Higher Level | 4 | Vectors | Planes | - |

Methods (UK) | M4 | Vectors | Planes | - |

OCR A2 Further Maths 2017 | Pure Core | Further Vectors | Planes | - |

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

OCR-MEI A-Level (UK - Pre-2017) | FP3 | Vectors | Planes | - |

Pre-Calculus (US) | E1 | Vectors | Planes | - |

Scottish Advanced Highers | M3 | Vectors | Planes | - |

Scottish (Highers + Advanced) | AM3 | Vectors | Planes | - |

Universal (all site questions) | V | Vectors | Planes | - |