National Council of Teachers of Mathematics
The Math Forum: Dot Product of Unit Vectors
This site gives an example of a problem showing how to find the dot product of unit 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.
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.
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.
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.
Other
Algebra Lab: Word Lesson: Vectors Right Triangles Components and Resultants
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.
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.
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/projectiles:vector Addition:order Does Not Matter
An animated illustration helps students understand that the summative result of two or more vectors can be determined by a process of vector addition.
Physics Aviary
Physics Aviary: Vector Math
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.
Physics Classroom
The Physics Classroom: 1 D Kinematics: Distance and Displacement
Students are introduced to the two scalar and vector quantities of distance and displacement with several illustrated practice problem opportunities.
Texas Education Agency
Texas Gateway: 3.3 Vector Addition and Subtraction: Analytical Methods
By the end of this section, you will be able to understand the rules of vector addition and subtraction using analytical methods, apply analytical methods to determine vertical and horizontal component vectors, and apply analytical...
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.
CK-12 Foundation
Ck 12: Vector Sum and Difference
[Free Registration/Login may be required to access all resource tools.] Looks at finding the direction and magnitude of vectors and breaking vectors into component parts.
CK-12 Foundation
Ck 12: Trigonometry: Resultant as Magnitude and Direction
[Free Registration/Login may be required to access all resource tools.] Express vectors in magnitude and direction form.
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.
Khan Academy
Khan Academy: Add Vectors: Magnitude and Direction to Component
Add two vectors in magnitude and direction form to get a new vector in component form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Alabama Learning Exchange
Alex: Vectors Drive the Boat
Using a combination of online exploration and teacher instruction students will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will be able...
Khan Academy
Khan Academy: Add Vectors: Magnitude & Direction
Add two vectors in magnitude and direction form to get a new vector also in magnitude and direction form.
Khan Academy
Khan Academy: Add Vectors: Magnitude & Direction to Component
Add two vectors in magnitude and direction form to get a new vector in component form.
Wolfram Research
Wolfram Math World: Order of Magnitude
Definition and notation of the magnitude of a vector. Includes links to related sites.
Wolfram Research
Wolfram Math World: Resultant
Defines resultant as the result of combing two or more vectors. Includes formulas and links to related terms.