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
Definition of a unit vector with an illustration.
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.
![Houghton Mifflin: Math Graphs: Sketching Vectors 8 [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Sketching Vectors 8 [Pdf] Unknown Type")
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.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 12 [Pdf]
Learners sketch a graph of the specified vector by combining two given vectors. The practice problem is available in PDF format.
Ducksters
Ducksters: Physics for Kids: Scalars and Vectors
Kids learn about scalars and vectors in the science of physics. Scalars are magnitude only while vectors have magnitude and direction. Examples and differences and how to draw a vector.
Ducksters
Ducksters: Physics for Kids: Basic Vector Math
Kids learn about basic vector math in the science of physics. How to add vectors using the head-to-tail method and the Pythagorean theorem. Example problems and the commutative and associative laws.
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.
National Council of Teachers of Mathematics
The Math Forum: Vectors
This site from the Math Forum of Drexel University contains downloadable sketches and pictures related to vectors. You may need to down-load the Geometer's Sketchpad to view these pages.
National Council of Teachers of Mathematics
The Math Forum: Vector Subtraction
Illustration and description of vector subtraction. Similar to vector addition.
Wolfram Research
Wolfram Math World: Scalar Multiplication
Describes how a scalar can be multiplied to a vector and shows this using diagrams. Site also contains related links, graphs, and pictures.
National Council of Teachers of Mathematics
The Math Forum: Projection: Theory
Describes how to use dot products to project one vector onto another.
National Council of Teachers of Mathematics
The Math Forum: Unit Vectors and Unit Circle
Description of the unit vector and its relationship to the unit circle.
National Council of Teachers of Mathematics
The Math Forum: Vector Addition: Geometry
Illustrates and describes how to add two vectors graphically.
National Council of Teachers of Mathematics
The Math Forum: Dot Products of Non Unit Vectors
Description of finding the formula for the dot product of any two vectors.
Walter Fendt
Walter Fendt: Resultant of Forces (Addition of Vectors)
A short interactive activity which allows you to visualize the sum of vectors.
Educaplus (Jesús Peñas Cano)
Educaplus: Suma Grafica De Vectores
Visualize the sum of different vectors with this interactive activity. You may choose from two to seven vectors.
Wolfram Research
Wolfram Math World: Direction Cosine
This page discusses the direction cosine, which can be used to find the coordinates of a unit vector in the direction of any given vector. Includes some rather advanced formulas.