The distance between
two points in 3 dimensions is found by the formula:

d^2=(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2

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## Glossary

### union

The union of two sets A and B is the set containing all the elements of A and B.

**Full Glossary List**

## This question appears in the following syllabi:

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

AQA A-Level (UK - Pre-2017) | C4 | Vectors | Vector algebra | - |

AQA A2 Maths 2017 | Mechanics | Kinematics | 3D Vectors | - |

AQA AS/A2 Maths 2017 | Mechanics | Kinematics | 3D Vectors | - |

CBSE XII (India) | Vectors and 3-D Geometry | Vectors | Types, equal, unit, parallel, collinear | - |

CCEA A-Level (NI) | C4 | Vectors | Vector algebra | - |

CIE A-Level (UK) | P1 | Vectors | Vector algebra | - |

Edexcel A-Level (UK - Pre-2017) | C4 | Vectors | Vector algebra | - |

Edexcel A2 Maths 2017 | Pure Maths | Vectors | 3D Vectors | - |

Edexcel AS/A2 Maths 2017 | Pure Maths | Vectors | 3D Vectors | - |

I.B. Higher Level | 4 | Vectors | Vector algebra | - |

I.B. Standard Level | 4 | Vectors | Vector algebra | - |

Methods (UK) | M4 | Vectors | Vector algebra | - |

OCR A-Level (UK - Pre-2017) | C4 | Vectors | Vector algebra | - |

OCR A2 Maths 2017 | Pure Maths | Vectors | 3D Vectors | - |

OCR MEI A2 Maths 2017 | Pure Maths | Vectors | 3D Vectors | - |

OCR-MEI A-Level (UK - Pre-2017) | C4 | Vectors | Vector algebra | - |

Pre-Calculus (US) | E1 | Vectors | Vector algebra | - |

Pre-U A-Level (UK) | 6 | Vectors | Vector algebra | - |

Scottish (Highers + Advanced) | HM3 | Vectors | Vector algebra | - |

Scottish Highers | M3 | Vectors | Vector algebra | - |

Universal (all site questions) | V | Vectors | Vector algebra | - |

WJEC A-Level (Wales) | C4 | Vectors | Vector algebra | - |

More in this topic

1 2D add and subtract

2 2D add and subtract 2

3 3D add and subtract

4 Magnitude 4

5 Multiplication by a scalar 2

6 Distance between two points

7 Unit vectors

8 Unit vectors 2

9 Unit vectors 3

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11 Equations of lines 2

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14 Equations of lines 5

15 Intersecting lines

16 Intersection with a circle

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22 Angle between 2D lines 2

23 Angle between 3D lines

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26 Perpendicular vectors

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28 Perpendicular vectors 3

29 Perpendicular vectors 4

30 Perpendicular lines

31 Perpendicular lines 2

32 Foot of perpendicular

33 Collinear points

34 Memorise the formulae

35 Diagonals of a parallelogram

36 Extended problem 1

37 Extended problem 2

38 Sequence O-test

39 O-test 1

40 O-test 2

41 O-test 3

42 O-test 4

43 O-test 5

44 O-test 6

45 O-test 7

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