Curated OER
Worksheet 8 - Vectors
In this vector worksheet, students find the area of a parallelogram spanned by vectors, they give the geometric and algebraic definitions of the dot product and describe a sequence of vectors. This one-page worksheet contains six...
Curated OER
MA 371 - Vector Norm: Dot Product
In this dot product worksheet, students solve 6 short answer problems. Students find unit vectors in the same direction as a given vector. Students express vectors as a linear combination of the standard basis vectors. Students find a...
Curated OER
Math 224 Spring 2004: Dot Product
In this dot product worksheet, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page worksheet contains four problems.
Curated OER
Multivariable Calculus: Dot Product
In this dot product worksheet, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page worksheet contains examples and explanations with two problems.
Curated OER
Linear Systems: Lengths and Dot Products
In this dot product instructional activity, students explore the multiplication of vectors. This two-page instructional activity contains explanations, examples, and approximately ten problems.
Curated OER
Math 212: Dot Product and Cross Product
In this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
Wolfram Research
Wolfram Math World: Dot Product
This math site gives the formula for taking the dot product of two vectors, gives properties of dot products, (commutative, associative, and distributive), how to find the derivative of a dot product. This site has links to several other...
Wolfram Research
Wolfram Math World: Dihedral Angle
This MathWorld page discusses the dihedral angle, or the angle between two planes that can be found using the dot product of the two normal vectors of each plane.
Wolfram Research
Wolfram Math World: Vector
This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Vectores en El Espacio
In this unit you will be manipulate vectors in graphical form and reinforce your understanding of vectors with these interactive activities.
Other
Dot Product
Come to this site to discover the formula for finding the value of a dot product. The site offers two ways to calculate the dot product, one using only the elements of the vectors, the other using the length of each vector and the angle...
Wolfram Research
Wolfram Math World: Vector Multiplication
Provides tables for all the types of vector multiplication and the notation associated with them. The result is also given in the table (ie. scalar or vector) this site contains many related links.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Vectors
The resource examines vectors and their properties. Topics investigated are vector, vector arithmetic, dot product, and cross product. Class notes, definitions, and examples with detailed solutions are included. The notes are available...
CK-12 Foundation
Ck 12: Analysis: Dot Products
[Free Registration/Login may be required to access all resource tools.] In this lesson students are calculating dot products of vector quantities. Students examine guided notes, review guided practice, watch instructional videos and...
Analyze Math
Analyze Math: Dot Product of Two Vectors and Applications
Learners explore the Pre-Calculus topic of vectors. The activity is a tutorial on the calculation and applications of the dot product of two vectors. Examples with detailed solutions are included.
Other
University of Edinburgh: Glossary of Introductory Computer Graphics Terms
This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...
National Council of Teachers of Mathematics
The Math Forum: Projection: Theory
Describes how to use dot products to project one vector onto another.
Wolfram Research
Wolfram Math World: Inner Product
This site contains links to four kinds of inner products: Dot Product, Hermitian Inner Product, Interior Product, L2-Inner Product.