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Texas Education Agency
Texas Gateway: Kinematics in Two Dimensions: Addition of Velocities
By the end of this section, you will be able to apply principles of vector addition to determine relative velocity and explain the significance of the observer in the measurement of velocity.
OpenStax
Open Stax: Physics: Addition of Velocities
In the following interactive students will begin to apply principles of vector addition to determine relative velocity and explain the significance of the observer in the measurement of velocity.
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.
CK-12 Foundation
Ck 12: Vector Addition
[Free Registration/Login may be required to access all resource tools.] A collection of resources on how to add vectors.
Physics Classroom
The Physics Classroom: Motion and Forces in Two Dimensions: Component Addition
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.
Physics Classroom
The Physics Classroom: Motion and Forces in Two Dimensions: Vector Addition
In this physics tutorial, the task of summing vectors will be extended to cases in which the vectors are directed in directions other than purely vertical and horizontal.
Analyze Math
Analyze Math: Vector Addition and Scalar Multiplication
Learners explore the Pre-Calculus topic of vectors. The tutorial examines vector addition, components of a vector, and scalar multiplication. Examples with detailed solutions are included.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: Vector Addition: 6 + 8 = ?
Become a student of physics and approach the task of adding vector quantities, which also include direction. See this head-to-tail animation which helps with the visualization of this concept.
NASA
Nasa: Vectors
This site from NASA provides an excellent tutorial on vectors and their use in physics to describe the motion of objects. Vector addition and resolution are illustrated.
Other
Scientific Visualization: Vector Calculation
A Java applet on vector addition. Users drag two or more vectors to be added together. Clicking a button shows the resultant of the vectors.
Texas Instruments
Texas Instruments: Polygons and Vectors
Students understand the concepts of vectors and their resultant. They get acquainted with the parallelogram law of vector addition.
Wolfram Research
Wolfram Math World: Math World: Vector Addition
Defines vector addition and gives the algebraic notation for adding vectors. Includes a graphic and links to additional information.
CK-12 Foundation
Ck 12: Vector Addition
[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.
Science Education Resource Center at Carleton College
Serc: Understanding Vectors Vector Addition
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.
NASA
Nasa: Vector Addition by the Numerical Method
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.
Khan Academy
Khan Academy: Graphically Add & Subtract Vectors
Analyze graphs that represent vector addition & subtraction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Other
Vector Sum
This site offers an interactive application to understand vector addition. The site exemplifies the ability to translate vectors to obtain a resultant.
Curated OER
Zona Land: Mechanics and Vectors
An exceptional tutorial on the topic of vectors that offers many helpful graphics, some of which are interactive.
Curated OER
Zona Land: Components of a Vector
An interactive Java applet where users can rotate a vector about its tail and view the components of that vector. Magnitude of the components is updated on screen as the vector is dragged.
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...
Wolfram Research
Wolfram Math World: Vector
This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.
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.
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.
National Council of Teachers of Mathematics
The Math Forum: Vector Addition: Algebra
Illustration and description of how to add vectors using algebra.
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