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Worksheet
Curated OER

Linear Systems: Review of Vectors

For Students 12th - Higher Ed
For this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Introduction to Vector Spaces

For Students 10th - 12th
In this vector spaces learning exercise, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page learning exercise contains 13 problems.
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Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Worksheet
Curated OER

Math 212: Vectors

For Students Higher Ed
In this vector worksheet, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Adding Vectors

For Students 8th - 11th
In this vectors worksheet, students solve 8 problems given each vector in kilometers and their degree. Students indicate the magnitude and direction of the resultant vector.
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Worksheet
Curated OER

Adding Vectors

For Students 10th - Higher Ed
In this vector worksheet. students solve six vector problems. In four of the problems kids add three vectors together to get the resultant vector and in two of the problems students add four vectors together to get the resultant vector.
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Worksheet
Curated OER

Writing Vectors

For Students 9th - 11th
For this vectors worksheet, students draw 15 vectors using a given key with direction and measurement. Students are given a specific distance and direction for each vector to draw.
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Worksheet
Curated OER

Adding Vectors

For Students 8th - 10th
For this vector worksheet, students solve ten problems given vector directions in kilometers for two distances. They use a given key that 1 cm=1km.
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Worksheet
Curated OER

Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Worksheet
Curated OER

Vectors

For Students 11th - 12th
In this Pre-calculus worksheet, students solve problems designed to help students develop a geometric visualization of vectors. The three page worksheet contains six multi-part questions. Answers are not included.
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Worksheet
Curated OER

Adding Vectors

For Students 10th - 12th
In this vector worksheet, students solve 6 problems. They are given two drawn lines labeled vector 1 and vector 2. Students draw the resultant vector.
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Worksheet
Curated OER

Matrices and Vectors

For Students 12th - Higher Ed
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...
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Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  For this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the symbolic and...
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Lesson Plan
Curated OER

Worksheet 4 - Geometric Mean

For Teachers Higher Ed
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
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PPT
Curated OER

DNA Technologies

For Teachers 11th - 12th
After giving some of the basic characteristics of the DNA molecule, the slides provide process information and many detailed diagrams about plasmids, vectors, and their application in cloning genes.
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Lesson Plan
Curated OER

Worksheet 24 Spring 1996

For Teachers 11th - Higher Ed
For this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
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Lesson Plan
Curated OER

Worksheet 22 - Functions

For Teachers Higher Ed
In this function worksheet, students use functions to identify an electron traveling along a path. They examine the velocity vector and compute the directional derivative. This two-page worksheet contains six multi-step problems.
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Lesson Plan
Physics Classroom

As the Crow Flies Lab

For Teachers 9th - 12th
A simple, yet memorable, way of practicing with displacement vectors is described here. Divide your class into groups and assign each a different landmark on campus. They measure smaller legs of the path from the classroom to their...
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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Worksheet
Curated OER

Multivariable Calculus: Introduction to Vectors

For Students 11th - Higher Ed
In this vector worksheet, students find the length of vectors and the distance between two points. This two-page worksheet contains examples, definitions, and explanations, as well as two problems.
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Worksheet
Curated OER

Math 224 Spring 2004: Vectors

For Students Higher Ed
In this vector learning exercise, students find the coordinates of a midpoint and compute the vector equation of a line. This two-page learning exercise contains four problems.
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Worksheet
Curated OER

First-Order Differential Equations and Vector-Matrix Systems

For Students 11th - Higher Ed
In this differential equation worksheet, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students Higher Ed
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
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Worksheet
Curated OER

Operations on Vectors and Matrices

For Students 11th - Higher Ed
In this math worksheet, students practice using the operations on vectors and matrices. They find the parallel vector to the given one.

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