Skill |
Type |
Description |
Source |

15.1 Integration of Vectors |
Workbook |
Integrate vectors |
HELM |

9.1 Basic Concepts of Vectors |
Workbook |
Categorize a number of common physical quantities as scalar or vector + represent vectors by directed line segments + combine, or add, vectors using the triangle law + resolve a vector into two perpendicular components |
HELM |

Vectors |
Worksheet |
This leaflet explains notations in common use for describing vectors, and shows how to calculate the modulus of vectors given in Cartesian form |
MathsCentre |

9.2 Cartesian Components of Vectors |
Workbook |
Explain the meaning of the unit vectors i, j and k + express two dimensional and three dimensional vectors in Cartesian form + find the modulus of a vector expressed in Cartesian form + find a �position vector� |
HELM |

Cartesian Components of Vectors |
Booklet |
Any vector may be expressed in Cartesian components, by using unit vectors in the directions of the coordinate axes. In this unit we describe these unit vectors in two dimensions and in three dimensions, and show how they can be used in calculations |
MathsCentre |

9.3 The Scalar Product |
Workbook |
Given vectors + calculate the scalar product of two vectors given in Cartesian form + use the scalar product to find the angle between two vectors + use the scalar product to test whether two vectors.. |
HELM |

Introduction to Vectors |
Booklet |
A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them |
MathsCentre |

9.4 The Vector Product |
Wookbook |
Use the right-handed screw rule + calculate the vector product of two given vectors + use determinants to calculate the vector product of two vectors given in Cartesian form |
HELM |

The Scalar Product |
Worksheet |
This leaflet defines the scalar product of two vectors and gives some examples. It shows how the scalar product can be used to find the angle between two vectors |
MathsCentre |

9.5 Lines and Planes |
Workbook |
Obtain the vector equation of a line + obtain the vector equation of a plane passing through a given point and which is perpendicular to a given vector + obtain the vector equation of a plane which is a given distance from the origin and which is perpendicular.. |
HELM |

The Scalar Product |
Booklet |
One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector |
MathsCentre |

The Vector Product |
Worksheet |
This leaflet defines the vector product of two vectors and gives some examples. It shows how the vector product can be evaluated using determinants |
MathsCentre |

The Vector Product |
Booklet |
One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector |
MathsCentre |

Adding and Subtracting Vectors |
MiniClip |
Adding and Subtracting Vectors |
Leeds University |

Angle between two planes |
MiniClip |
Angle between two planes |
Leeds University |

Cartesian components of vectors |
Video - 20 mins |
Any vector may be expressed in Cartesian components by using unit vectors in the directions of the coordinate axes. These unit vectors in two dimensions and in three dimensions are described |
MathTutor |

Intersecting lines |
MiniClip |
Intersecting lines |
Leeds University |

Intersection of two planes |
MiniClip |
Intersection of two planes |
Leeds University |

Introduction to vectors |
Video - 33 mins |
A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. Adding and subtracting vectors and using them in geometry is described |
MathTutor |

Representing vectors |
MiniClip |
Representing vectors |
Leeds University |

Resultant of two vectors |
MiniClip |
Resultant of two vectors |
Leeds University |

Scalar and vector quantities |
MiniClip |
Scalar and vector quantities |
Leeds University |

Scalar product |
MiniClip |
Scalar product |
Leeds University |

The scalar product |
Video - 45 mins |
One of the ways in which two vectors can be combined is known as the scalar product. When the scalar product of two vectors is calculated the result, as the name suggests, is a scalar rather than a vector |
MathTutor |

The vector product |
Video - 50 mins |
One of the ways in which two vectors can be combined is known as the vector product. When the vector product of two vectors is calculated the result is a vector. The unit includes some geometrical applications |
MathTutor |

Unit vectors |
MiniClip |
Unit vectors |
Leeds University |

Vector equation of a plane |
MiniClip |
Vector equation of a plane |
Leeds University |

Vector equation of a straight line |
MiniClip |
Vector equation of a straight line |
Leeds University |

Vector product |
MiniClip |
Vector product |
Leeds University |

Vector product using components |
MiniClip |
Vector product using components |
Leeds University |

Vectors |
MiniClip |
Vector magnitude and direction from components |
Leeds University |

Vectors in component form |
MiniClip |
Vectors in component form |
Leeds University |