Learners use a given figure to sketch a vector in the opposite direction. The practice problem is available in PDF format.

Learners use a given figure to sketch a vector that has a new length. The practice exercise is available in PDF format.

Learners sketch a graph of the specified vector. The practice problem is available in PDF format.

A short interactive activity to help you visualize the components of a vector. You will be able to change the values of x, y, z and the rotation.

This activity assesses students' knowledge and understanding of vectors.

This math site gives the formula for taking the dot product of two vectors, gives properties of dot products, (commutative, associative, and distributive), how to find the derivative of a dot product. This site has links to several other...

[Free Registration/Login Required] Learn about adding two vectors together by components in the context of a GPS-style city map. Adjust magnitude and angles in the two vectors to simulate the driverless car. Examples taking this concept...

[Free Registration/Login Required] Learn about adding force vectors in two dimensions using the example of a painting hanging from two strings. Experiment with variables of weight and angles to hang a portrait in this physics simulation....

By the end of this section, you will be able to describe the right-hand rule to find the direction of angular velocity, momentum, and torque; explain the gyroscopic effect; and study how Earth acts like a gigantic gyroscope.

Take control of a virtual car and learn how vectors are used to represent velocity and acceleration in this interactive activity developed for Teachers' Domain.

[Free Registration/Login Required] In this interactive simulation, the user will help guide the driverless car using vectors.

From a chapter on Rotational Motion and Angular Momentum in a Physics textbook. This section of the chapter explains how to use the right-hand rule to determine direction for angular velocity, momentum, and torque. Also discusses the...

In this activity, students use TI-Interactive! or TI-83/84's to explore the independence of vertical and horizontal velocity components for swimmers crossing a river.

This thorough explanation from the Glenbrook High School of different kinds of vector problems address relative velocity with an airplane and riverboat. Includes examples and a five question practice quiz. Answers with all work shown are...

In this physics tutorial, students learn how to approach more complex vector addition situations by combining the concept of vector components and the principles of vector resolution with the use of the Pythagorean theorem.

Illustration and description of how to add vectors using algebra.

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

Definition of a unit vector with an illustration.

Description of how to derive the unit vector from a particular vector.

Illustration and description of vector subtraction. Similar to vector addition.

Illustrates and describes how to add two vectors graphically.

Description of the unit vector and its relationship to the unit circle.

Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.

Describes and illustrates the addition of vectors.