In this interactive module, students will observe that motion in two dimensions consists of horizontal and vertical components. They will understand the independence of horizontal and vertical vectors in two-dimensional motion.

This site explains how to check for divergence of a vector. It includes formulas and solutions.

This site from Mathworld.com contains an explanation of a croos product and example with links to clarify unfamiliar proceedures in finding a cross product. If you are not famialiar with the right-hand rule, be sure to go click on the...

An exceptional tutorial on the topic of vectors that offers many helpful graphics, some of which are interactive.

This resource provides a description of components of vectors and their notation.

This resource provides a description of components of vectors and their notation.

Advanced discussion of the components of a vector on a three dimensional plane is available here along with formulas and properties.

[Free Registration/Login may be required to access all resource tools.] Define a vector mathematically.

Match vectors to images based on scalars to show that you understand scalar multiplication. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

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.

A thorough explanation of line integration and how to represent force fields, include graphs and diagrams for visual reference and examples.

The online course consists of educational materials about multivariable calculus. Readings, syllabus, interactive mathlets, video lectures, exams, and assignments are included.

The operation of Polaroid filters on a pair of sunglasses is shown.

This resource provides a definition and demonstration of the cross product.

This resource provides a description and formulas for finding the triple product.

This site contains a description of four dimensions through an example of spacetime. The site discusses how to determine the dimensions of a vector space and much more. Links are provided for further discoveries and understandings.

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...

A tutorial that describes what a resultant is and how a resultant is determined.

This physics tutorial provides students illustrated examples and interactive practice problems containing perpendicular components of motion.

[Free Registration/Login may be required to access all resource tools.] A collection of resources on how to express vectors in magnitude and direction form and determine the magnitude and direction of their sum.

At the bottom of this page from the Georgia State University, you will two real-world applications of the Laws of Sines and Cosines (in the context of velocity vectors.)

Students research the relationship between hosts, parasites, and vectors for common vector-borne diseases and evaluate how climate change could affect the spread of disease.

Students must show they are able to find the components of a velocity vector and that they can calculate the velocity vector from the components. Students must be able to get 5 in a row correct to receive credit for this assignment.

Based off of the hit television show NUMB3RS, this lesson has students manipulate the vector component equations in order to maximize distance for a given initial velocity (using the launch angle as the variable). In an extension,...