Curated OER
Linear Systems: Review of Vectors
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.
Curated OER
Introduction to Vector Spaces
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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Linear Systems: Graphical Interpretation of Vectors
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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Math 212: Vectors
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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Adding Vectors
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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Adding Vectors
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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Writing Vectors
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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Adding Vectors
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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Linear Systems: Orthogonality of Vector Spaces of a Matrix
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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Vectors
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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Adding Vectors
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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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...
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Parametric, Vector, Polar, and 3D Functions
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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Worksheet 4 - Geometric Mean
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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DNA Technologies
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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Worksheet 24 Spring 1996
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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Worksheet 22 - Functions
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.
Physics Classroom
As the Crow Flies Lab
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...
EngageNY
Vectors and the Equation of a Line
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...
Curated OER
Multivariable Calculus: Introduction to Vectors
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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Math 224 Spring 2004: Vectors
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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First-Order Differential Equations and Vector-Matrix Systems
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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Linear Systems: Vector Spaces
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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Operations on Vectors and Matrices
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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