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.

Definition of dot product and an application.

[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...

Description of finding the formula for the dot product of any two vectors.

Explanation and illustration of the use of dot products in physics.

This page gives a good discussion of the scalar triple product, which is the dot product of a vector with the cross product of two other vectors.

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.

Notice how magazines print photos using dots made up of percentages of only three colors and black. Try your hand at using percentages of cyan, magenta and yellow to match the magazine color displayed.

Describes how to use dot products to project one vector onto another.

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...

[Free Registration/Login may be required to access all resource tools.] In this lesson students will study scalar projections: dot products of vectors and unit vectors. Students examine guided notes, review guided practice, watch...

Come to this site to find the transformational matrix to find the vector rotated 90 degrees from the original. The site also states the special relationship between two perpendicular vectors when using the dot product.

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...

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.

In this lesson, students learn about the difference between human-made and natural components in our world. They will then identify natural and human-made items using photos. They will learn about the Engineering Design Process, why...

This activity checks that you are able to add and subtract vectors, calculate the dot and cross product of vectors, and multiply or divide vectors by scalars.

MathWorld.com gives a definition of parallel planes along with an if and only if (iff) statement to determine if two planes are parallel. The understanding of the dot product and/or cross product is necessary to utilize the iff...

[Free Registration/Login Required] Students use ladybugs and the number of dots on their wings to do single digit addition and subtraction problems.

A map from 1868 of Asia showing physical features and natural resources of the region. The map shows political boundaries of the time, with capitals, major cities, and ports. The map shows mountain systems with black lines of variable...

A map from 1868 of Europe, showing the physical features, climate, and commercial resources of the region. Mountain chains are represented by lines of varying thickness, with the broader the line, the greater the elevation. The highest...

A map from 1868 of North America, Central America, and the Caribbean showing the physical features of the region, vegetation types, ocean currents, temperatures, principal products and mineral deposits. Mountain chains are represented by...

A map from 1868 of South America showing the physical features of the region, vegetation types, ocean currents, temperatures, principal products and mineral deposits. Mountain chains are represented by lines of varying thickness, with...