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...
Khan Academy
Khan Academy: Magnitude of Vectors
Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
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.
CK-12 Foundation
Ck 12: Trigonometry: Resultant of Two Displacements
[Free Registration/Login may be required to access all resource tools.] Determine the physical description of vector displacement additions.
CK-12 Foundation
Ck 12: Analysis: Vector Direction
[Free Registration/Login may be required to access all resource tools.] Definition and use of calculated vector direction angles
CK-12 Foundation
Ck 12: Resultant as Magnitude and Direction
[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.
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.
Wolfram Research
Wolfram Math World: Radius Vector
Mathworld.com provides a very brief definition of the radius, or position vector. Also gives some properties of the derivative of this vector.
Other
Can We Multiply 3 Vectors Together?
Addresses four possible cases of multiplying three vectors together and explains whether it is possible or not.
National Council of Teachers of Mathematics
The Math Forum: Vector Length
Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.
National Council of Teachers of Mathematics
The Math Forum: Unit Vectors From Others
Description of how to derive the unit vector from a particular vector.
Other
Finding the Magnitude or Length of a Vector
From the Cambridge University Press book, "Maths: A Student's Survival Guide," this page describes how to find the magnitude of a vector.
Other
Personal Site: Adding Vectors
This personal site provides a diagram and description of the addition of vectors. The triangle law of addition and the parallelogram law are given.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 8 [Pdf]
Students use a figure to sketch a new vector that combines the tail of one vector with the head of the other vector. The practice problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 9 [Pdf]
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 10 [Pdf]
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.