## Vectors

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
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

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