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.

Learners explore vectors, projectile motion, and forces in two-dimension. The tutorial consists of lessons and problems to check for understanding.

This resource provides a detailed explanation of a resultant, in terms of vectors. Content also includes helpful examples.

Watch this video tutorial, and find out why work is not a vector. [4:48]

This site from the Math Forum of Drexel University contains downloadable sketches and pictures related to vectors. You may need to down-load the Geometer's Sketchpad to view these pages.

The properties of the triple vector product are given.

Background information on vectors and their use in describing motion in two dimensions. A comparison of Aristotle's and Galileo's perspectives on force and motion is given.

This site offers an interactive application to understand vector addition. The site exemplifies the ability to translate vectors to obtain a resultant.

[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to add two vectors with either the triangle method or the parallelogram method.

By participating in a group activity, students will learn how to add force vectors. They will see the significance of direction when adding vector quantities.

A lab experiment involving readily available materials. Students analyze three forces acting upon one point to determine the resultant force. Questions and accompanying answers are provided.

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.

A clear explanation of how to multiply a matrix by a vector and a matrix by a matrix. A follow-up page provides additional examples.

Solve problems using vectors that involve velocity, speed, direction, and magnitude. Includes examples and practice problems. Click on the buttons under the practice questions to see the solutions.

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

Students understand that vectors have both magnitude and direction components as they investigate velocity and acceleration vectors.

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.

In this tutorial, examine the effect of forces acting at angles to the horizontal, such that the force has an influence in two dimensions- horizontally and vertically.

Try this walking toy activity to learn about the directional forces that act on it to control its movements.

Through interactive examples and practice problems, this tutorial helps students understand net force-acceleration problems in which an applied force is directed at an angle to the horizontal.

In this interactive tutorial, analyze two-body problems in which the objects are moving in different directions.

Add and subtract vectors given in component form.

This site goes into detail about Spearman's two factor theory. From the classic paper "The Vectors of Mind" by L. L. Thurstone (1934) Address of the president before the American Psychological Association, Chicago meeting, September, 1933.

Learners display understanding of advanced mathematical concepts in Geometry. The online quiz assesses the scholars on perpendicular vectors.