Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Vectors

For Students 9th - 10th Standards
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...
Handout
National Council of Teachers of Mathematics

The Math Forum: Dot Products of Non Unit Vectors

For Students 9th - 10th Standards
Description of finding the formula for the dot product of any two vectors.
Handout
National Council of Teachers of Mathematics

The Math Forum: Definition of the Dot Product

For Students 9th - 10th Standards
Definition of dot product and an application.
Handout
National Council of Teachers of Mathematics

The Math Forum: What Good Are Dot Products?

For Students 9th - 10th
Explanation and illustration of the use of dot products in physics.
Handout
Wolfram Research

Wolfram Math World: Orthogonal Vectors

For Students 9th - 10th Standards
This MathWorld page gives a very brief definition of orthogonal vectors (vectors whose dot product is equal to zero.)
Handout
Wolfram Research

Wolfram Math World: Vector

For Students 9th - 10th Standards
This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Scalar Projections

For Students 11th - 12th
[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...
Handout
Wolfram Research

Wolfram Math World: Scalar Triple Product

For Students 9th - 10th Standards
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.
Activity
Physics Aviary

Physics Aviary: Vector Math

For Students 9th - 10th Standards
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.
Handout
Wolfram Research

Wolfram Math World: Vector Multiplication

For Students 9th - 10th Standards
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.
Handout
Wolfram Research

Wolfram Math World: Dihedral Angle

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Math World: Inner Product

For Students 9th - 10th
This site contains links to four kinds of inner products: Dot Product, Hermitian Inner Product, Interior Product, L2-Inner Product.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Vectores en El Espacio

For Students 9th - 10th Standards
In this unit you will be manipulate vectors in graphical form and reinforce your understanding of vectors with these interactive activities.
Handout
National Council of Teachers of Mathematics

The Math Forum: Projection: Theory

For Students 9th - 10th Standards
Describes how to use dot products to project one vector onto another.
Handout
Wolfram Research

Wolfram Math World: Perpendicular Vectors

For Students 9th - 10th Standards
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.
Handout
Other

University of Edinburgh: Glossary of Introductory Computer Graphics Terms

For Students 9th - 10th
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...

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