EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
CK-12 Foundation
Vector Multiplied by a Scalar: Boat Race
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish.
EngageNY
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the lesson to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and interpret its...
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive activity which includes...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Urbana School District
Vectors
I don't always make vector jokes, but when I do, IJK. Vector addition using multiple methods, scalar multiplication, vector subtraction, vector components, relative velocities, free body diagrams, and so much more Are covered in this...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors learning exercise, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page learning...
Alabama Learning Exchange
Swim the Open Sea: Analyzing Duel Vectors
This dual vector lesson has the class watch a video about a person's swim of the English Channel. The class then uses a computer program to analyze dual vectors of wind's effect on a flight path of a plane as compared to the water...
Curated OER
Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
Curated OER
Introduction to Vector Spaces
In this vector spaces worksheet, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page worksheet contains 13 problems.
Curated OER
Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
Curated OER
Matrices and Transformations
In this matrix instructional activity, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. For this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Texas Education Agency
Texas Gateway: 3.2 Vector Addition and Subtraction: Graphical Methods
By the end of this section, you will be able to understand the rules of vector addition, subtraction, and multiplication and to apply graphical methods of vector addition and subtraction to determine the displacement of moving objects.
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.
OpenStax
Open Stax: Vector Addition and Subtraction: Graphical Methods
In this interactive site, students will begin to understand the rules of vector addition, subtraction, and multiplication and apply graphical methods of vector addition and subtraction to determine the displacement of moving objects.
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.
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.
Wolfram Research
Wolfram Math World: Vector Multiplication
Provides tables for all the types of vector multiplication and the notation associated with them. The result is also given in the table (ie. scalar or vector) this site contains many related links.
CK-12 Foundation
Ck 12: Vector Scalar Product: Vector Multiplied by a Scalar
[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. Compute the...
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.