[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...

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.

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

Definition of dot product and an application.

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

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.

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 gives a very brief definition of orthogonal vectors (vectors whose dot product is equal to zero.)

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...

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.

This site contains links to four kinds of inner products: Dot Product, Hermitian Inner Product, Interior Product, L2-Inner Product.

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

[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...

[Free Registration/Login Required] This flipchart demonstrates how dots and ties work in music.

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...

This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.

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 unit you will be manipulate vectors in graphical form and reinforce your understanding of vectors with these interactive activities.

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...

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.

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.

[Free Registration/Login may be required to access all resource tools.] In this lesson students are provided with an introduction to conic sections and sketching ellipses. Students examine guided notes, review guided practice, watch...