CK-12 Foundation
Ck 12: Life Science: Pathogens
[Free Registration/Login may be required to access all resource tools.] Has this ever happened to you? A student sitting next to you in class has a cold. The other student is coughing and sneezing, but you feel fine. Two days later, you...
CK-12 Foundation
Ck 12: Physical Science: Velocity
[Free Registration/Login may be required to access all resource tools.] Difference between velocity and speed, using vector arrows to represent velocity, objects that have different velocities and how to calculate average velocity.
CK-12 Foundation
Ck 12: Physical Science: Direction
[Free Registration/Login may be required to access all resource tools.] Explores direction and why it is important, direction as a component of motion, and how to represent direction and distance with vectors.
CK-12 Foundation
Ck 12: Trigonometry: Resultant as the Sum of Two Components
[Free Registration/Login may be required to access all resource tools.] Express a vector as two component vectors.
Yale University
Open Yale Courses: Physics 200: Vectors in Multiple Dimensions
Professor Shankar introduces and discusses vectors in multiple dimensions. The discussion includes topics such as null vectors, minus vectors, unit and velocity vectors. The lecture can be accessed as video, audio or as a transcript.
Wolfram Research
Wolfram Math World: Math World: Vector Sum
Defines vector sum and expresses the notation using algebra. Includes links to sites with related information.
University of Nebraska
Rectangular Coordinates in 3 D
Advanced discussion of the components of a vector on a three dimensional plane is available here along with formulas and properties.
Sophia Learning
Sophia: Vectors and Scalars Part 2
A slide show presentation which shows how component parts can be used to determine a vector. It also introduces trigonometry functions to show how vectors can have rotational directions.
Analyze Math
Analyze Math: Dot Product of Two Vectors and Applications
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.
University of Minnesota
University of Minnesota: Mechanics Problems: Force Problems
This University of Minnesota site provides a series of contextually rich, real-world problems demonstrating force and Newton's second law of motion.
Physics Classroom
The Physics Classroom: Horizontally Launched Projectile Problems
In the case of projectiles, students use information about the initial velocity and position of a projectile to predict such things as how much time the projectile is in the air and how far the projectile will go. They do this to make...
Physics Aviary
Physics Aviary: Displacement Vector in 3 D
A program that will randomly move an object from one location to another in three dimensional space. You must determine the length of the displacement vector that is created by this movement.
Physics Aviary
Physics Aviary: Coordinates of a 3 D Vector
A program that will randomly generate a vector in three dimensions. You must find the x, y, and z components of that vector.
Physics Aviary
Physics Aviary: One Step Vector Treasure Hunt
This game is intended to help students break a vector into components. They will be given a vector and then have click to see if they hit the right spot. Students need a score of 5 to successfully complete this activity.
Physics Aviary
Physics Aviary: Vector Treasure Hunt
This game is intended to help students get the idea of vector addition. Students will be given a randomly generated series of three vectors. They must follow the vectors to the end and then click to see if they hit the right spot.
Physics Aviary
Physics Aviary: Mc Culley's Trig Thing
This program gives students a visual representation of sine and cosine at different angles. A unit vector will cycle through different angles and students can see the changes that take place to the horizontal part and the vertical part...
Physics Aviary
Physics Aviary: Visualizing 3 D Position Vectors
This program's sole purpose is help students visualize position vectors in three dimensions. Students will be able to move a ball around in a room and they will be shown the position vector for the location of the ball relative to the...
Physics Aviary
Physics Aviary: Mc Culley's Html 5 Physics Resources
This program will allow students to quickly break a vector into components or turn the vector components into resultant vector.
Physics Classroom
The Physics Classroom: Describing Motion With Words
This lesson from the Glenbrook South High School gives a nice review and detailed explanation of velocity, speed, distance, displacement, and acceleration. A good introduction to the "language of Kinematics."
Physics Aviary
Physics Aviary: Length and Angle of 3d Vector
Test yourself on finding the length of a vector and the angle the vector makes with respect to the XZ plane.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: Vector Addition Interactive
Explore adding vectors by dragging objects on a canvas. Adding vectors can be easy with this Vector Guessing Game Interactive. Students can improve their understanding and skill at adding vectors using the head-to-tail method.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: Name That Vector Interactive
Try these vector addition challenges where twenty-five vectors are displayed on a grid. Each challenge involves adding three of the vectors together to determine the resultant. The emphasis of the activity is on component addition.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: Vector Guessing Game
Try this adding vector challenge. Two random vectors are displayed, and students must quickly decide on the size and direction of the resultant. The challenge is to solve as many correctly as possible in 20 seconds. Repeat, and beat your...
Physics Classroom
The Physics Classroom: Vectors & Projectiles: Vector Addition: Does Order Matter
Watch this short demonstration that focuses on a single question: Does the order in which vectors are added together affect the magnitude or the direction of the resultant?