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: Vector Scalar Product: Vector Multiplied by a Scalar
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to multiply a vector by a scalar, what the resulting quantity is, and how to represent it.
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: Trigonometry: Vector Subtraction
[Free Registration/Login may be required to access all resource tools.] Learn how to subtract two vectors using the triangle method.
CK-12 Foundation
Ck 12: Vector Subtraction
[Free Registration/Login may be required to access all resource tools.] Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction....
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.
CK-12 Foundation
Ck 12: Scalar Projections
[Free Registration/Login may be required to access all resource tools.] Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.
CK-12 Foundation
Ck 12: Unit Vectors and Components
[Free Registration/Login may be required to access all resource tools.] A collection of learning resources to help students understand how to find the components of a vector by subtracting the coordinates of an initial point from the...
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.
Khan Academy
Khan Academy: Analyze Scalar Multiplication
Match vectors to images based on scalars to show that you understand scalar multiplication.
Hofstra University
Hofstra: Matrix Algebra
This site explains what matrix algebra is. Includes examples. It also covers scalar multiples.
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: Zero Vector
Definition of a zero vector. Includes a graphic and links to related items.
Wolfram Research
Wolfram Math World: Parallel Vectors
Math World site offers a method of determining if two vectors are parallel based on their cross product.
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.
Educaplus (Jesús Peñas Cano)
Educaplus: Suma De Vectores: Regla Del Paralelogramo
Visualize the sum of two vectors with this interactive activity.
Educaplus (Jesús Peñas Cano)
Educaplus: Resta De Vectores
Visualize the difference of two vectors with this interactive activity.