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Dot and cross product - Numbas5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Introduction to vectorsA 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 in geometry.
Introduction to vectors - 1A 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 in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 2A 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 in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 3A 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 in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 4A 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 in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectorsA 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 in geometry. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Euclidean GeometryDesigned for self-study, this drawing-led introduction to the geometry of Euclid takes the learner from first principles through to constructions and mathematical proofs as well as covering practical applications of the techniques learnt in art and design. It concludes with a study of the pentagon, golden ratio and their surprising mathematical interconnection. The resources comprise a 100-page booklet and supporting interactive resources. These resources have been created by Rich Cochrane and Andrew McGettigan (Central Saint Martins, UAL) and reviewed by Prof Jeremy Gray (Open University). They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
Introduction to vectorsA 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 in geometry. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Cartesian components of vectorsAny 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. (Mathtutor Video Tutorial).
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Cartesian components of vectorsAny 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. (Mathtutor Video Tutorial).
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Cartesian components of vectorsAny 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.
Vectors - The Vector Product 1One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 2One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 3One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 4One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 5One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 1One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 2One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 3One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 4One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 5One 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
VectorsThis leaflet explains notations in common use for describing vectors, and shows how to calculate the modulus of vectors given in Cartesian form. (Engineering Maths First Aid Kit 6.1)
Quadratic equationsThis booklet explains how quadratic equations can be solved by factorisation, by completing the square, using a formula, and by
drawing graphs.
Being a Professional Mathematician websiteThis website houses the audio and worksheet resources created by the project 'Being a Professional Mathematician'. This aimed to produce a collection of teaching resources on the development of mathematics - stories from history and more recent development of the discipline. These aimed to counter a view of mathematics as a static, completed body of knowledge and instead encourage awareness of the process of doing mathematics. They aimed to develop students’ awareness of the culture of mathematics. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Vector Test 01 (DEWIS)Five questions on vectors, testing addition, subtraction, scalar multiplication, magnitude, scalar product, vector product and finding the angle between two vectors. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
